How do you find the HCF answer?

First, divide the large number by a small number. If the remainder is left, then divide the first divisor by remainder. If the remainder divides the first divisor completely, then it is the HCF or highest common factor of the given two numbers.

What is the HCF of 6 and 4?

The Highest Common Factor, also known as the Greatest Common Factor, of 4 and 6 is 2 .

What are the factors of 2 and 4 HCF?

There are 2 common factors of 2 and 4, and they are 1 and 2 . Therefore, the highest common factor of 2 and 4 is 2.

What will be the HCF of 2, 4, and 6?

Solution: The highest number that divides 2, 4, and 6 exactly is their highest common factor. The HCF of 2, 4, and 6 is 2 .

What is the LCM of 2 4 and 6?

LCM of 2, 4 and 6 is 12 . The value evenly divisible by the numbers 2, 4 and 6 is the LCM.

What is the HCF of 2 4 and 5?

Solution: The smallest number that is divisible by 2, 4, and 5 is 20. What is the Highest Common Factor (HCF) for 2, 4, and 5? Solution: The HCF for 2, 4, and 5 is 1 .

What goes into 4 and 6?

The factors of 4 and 6 are 1, 2, 4 and 1, 2, 3, 6 respectively. There are 3 commonly used methods to find the GCF of 4 and 6 - long division, Euclidean algorithm, and prime factorization.

What is the LCM and HCF of 4 6?

Therefore, the LCM is 12 . Example 2: Find the HCF of 4 and 6, if their LCM is 12. Therefore, the highest common factor of 4 and 6 is 2.

What is the HCF of 2 and 6?

The HCF of 2 and 6 is 2 . The highest value, which divides 2 and 6, equally denotes the HCF. The factors of 2 are 1, 2, and the factors of 6 are 1, 2, 3, 6.

What is the LCM of 2 4 and HCF?

Therefore, the HCF of 2 and 4 is 2 . Example 3: The product of two numbers is 8. If their HCF is 2, what is their LCM? Therefore, the LCM is 4.

What is the GCF of 2 and 4? The GCF of 2 and 4 is 2 . To calculate the greatest common factor (GCF) of 2 and 4, we need to factor each number (factors of 2 = 1, 2; factors of 4 = 1, 2, 4) and choose the greatest factor that exactly divides both 2 and 4, i.e., 2.

What is the easiest way to find the HCF of a large number?

Prime Factorization Method : This method involves breaking down the numbers into their prime factors. Step 1: Write each number as a product of its prime factors. Step 2: List the common factors of both the numbers. Step 3: The product of all common prime factors is the HCF (use the lower power of each common factor)1.

What is the fastest way to find HCF and LCM?

To find H.C.F. and L.C.M., we have two important methods which are the Prime factorization method and the division method . We have learned both methods in our earlier classes. The shortcut method to find both H.C.F. and L.C.M. is a division method.

What is HCF with example?

The highest common factor is the largest whole number which is shared by given numbers . For example, common factors of 10 and 20 are 1, 2, 5 and 10, but the highest of those is 10; therefore, the highest common factor of 10 and 20 is 10.

HCF of 2, 4 and 6 | How to Find HCF of 2, 4, 6? (2024)

HCF of 2, 4 and 6 is the largest possible number that divides 2, 4 and 6 exactly without any remainder. The factors of 2, 4 and 6 are (1, 2), (1, 2, 4) and (1, 2, 3, 6) respectively. There are 3 commonly used methods to find the HCF of 2, 4 and 6 - prime factorization, long division, and Euclidean algorithm.

1.	HCF of 2, 4 and 6
2.	List of Methods
3.	Solved Examples
4.	FAQs

What is HCF of 2, 4 and 6?

Answer: HCF of 2, 4 and 6 is 2.

Explanation:

The HCF of three non-zero integers, x(2), y(4) and z(6), is the highest positive integer m(2) that divides x(2), y(4) and z(6) without any remainder.

Methods to Find HCF of 2, 4 and 6

The methods to find the HCF of 2, 4 and 6 are explained below.

Listing Common Factors
Using Euclid's Algorithm
Prime Factorization Method

HCF of 2, 4 and 6 by Listing Common Factors

Factors of 2: 1, 2
Factors of 4: 1, 2, 4
Factors of 6: 1, 2, 3, 6

There are 2 common factors of 2, 4 and 6, that are 1 and 2. Therefore, the highest common factor of 2, 4 and 6 is 2.

HCF of 2, 4 and 6 by Euclidean Algorithm

As per the Euclidean Algorithm, HCF(X, Y) = HCF(Y, X mod Y)
where X > Y and mod is the modulo operator.

HCF(2, 4, 6) = HCF(HCF(2, 4), 6)

HCF(4, 2) = HCF(2, 4 mod 2) = HCF(2, 0)
HCF(2, 0) = 2 (∵ HCF(X, 0) = |X|, where X ≠ 0)

Steps for HCF(2, 6)

HCF(6, 2) = HCF(2, 6 mod 2) = HCF(2, 0)
HCF(2, 0) = 2 (∵ HCF(X, 0) = |X|, where X ≠ 0)

Therefore, the value of HCF of 2, 4 and 6 is 2.

HCF of 2, 4 and 6 by Prime Factorization

Prime factorization of 2, 4 and 6 is (2), (2 × 2) and (2 × 3) respectively. As visible, 2, 4 and 6 have only one common prime factor i.e. 2. Hence, the HCF of 2, 4 and 6 is 2.

☛ Also Check:

HCF of 96 and 120 = 24
HCF of 20, 28 and 36 = 4
HCF of 6, 8 and 12 = 2
HCF of 186 and 403 = 31
HCF of 16 and 36 = 4
HCF of 12, 16 and 28 = 4
HCF of 5, 15 and 20 = 5

HCF of 2, 4 and 6 Examples

Example 1: Find the highest number that divides 2, 4, and 6 completely.
Solution:
See Also
LCM of 2 and 4 | How to Find LCM of 2 and 4
The highest number that divides 2, 4, and 6 exactly is their highest common factor.
- Factors of 2 = 1, 2
- Factors of 4 = 1, 2, 4
- Factors of 6 = 1, 2, 3, 6
The HCF of 2, 4, and 6 is 2.
∴ The highest number that divides 2, 4, and 6 is 2.
Example 2: Verify the relation between the LCM and HCF of 2, 4 and 6.
Solution:
The relation between the LCM and HCF of 2, 4 and 6 is given as, HCF(2, 4, 6) = [(2 × 4 × 6) × LCM(2, 4, 6)]/[LCM(2, 4) × LCM (4, 6) × LCM(2, 6)]
⇒ Prime factorization of 2, 4 and 6:
- 2 = 2
- 4 = 2 × 2
- 6 = 2 × 3
∴ LCM of (2, 4), (4, 6), (2, 6), and (2, 4, 6) is 4, 12, 6, and 12 respectively.
Now, LHS = HCF(2, 4, 6) = 2.
And, RHS = [(2 × 4 × 6) × LCM(2, 4, 6)]/[LCM(2, 4) × LCM (4, 6) × LCM(2, 6)] = [(48) × 12]/[4 × 12 × 6]
LHS = RHS = 2.
Hence verified.
Example 3: Calculate the HCF of 2, 4, and 6 using LCM of the given numbers.
Solution:
Prime factorization of 2, 4 and 6 is given as,
- 2 = 2
- 4 = 2 × 2
- 6 = 2 × 3
LCM(2, 4) = 4, LCM(4, 6) = 12, LCM(6, 2) = 6, LCM(2, 4, 6) = 12
⇒ HCF(2, 4, 6) = [(2 × 4 × 6) × LCM(2, 4, 6)]/[LCM(2, 4) × LCM (4, 6) × LCM(6, 2)]
⇒ HCF(2, 4, 6) = (48 × 12)/(4 × 12 × 6)
⇒ HCF(2, 4, 6) = 2.
Therefore, the HCF of 2, 4 and 6 is 2.

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FAQs on HCF of 2, 4 and 6

What is the HCF of 2, 4 and 6?

The HCF of 2, 4 and 6 is 2. To calculate the highest common factor (HCF) of 2, 4 and 6, we need to factor each number (factors of 2 = 1, 2; factors of 4 = 1, 2, 4; factors of 6 = 1, 2, 3, 6) and choose the highest factor that exactly divides 2, 4 and 6, i.e., 2.

Which of the following is HCF of 2, 4 and 6? 2, 22, 44, 33, 30, 42

HCF of 2, 4, 6 will be the number that divides 2, 4, and 6 without leaving any remainder. The only number that satisfies the given condition is 2.

What are the Methods to Find HCF of 2, 4 and 6?

There are three commonly used methods to find the HCF of 2, 4 and 6.

By Long Division
By Euclidean Algorithm
By Prime Factorization

How to Find the HCF of 2, 4 and 6 by Prime Factorization?

To find the HCF of 2, 4 and 6, we will find the prime factorization of given numbers, i.e. 2 = 2; 4 = 2 × 2; 6 = 2 × 3.
⇒ Since 2 is the only common prime factor of 2, 4 and 6. Hence, HCF(2, 4, 6) = 2.
☛ What is a Prime Number?

What is the Relation Between LCM and HCF of 2, 4 and 6?

The following equation can be used to express the relation between Least Common Multiple and HCF of 2, 4 and 6, i.e. HCF(2, 4, 6) = [(2 × 4 × 6) × LCM(2, 4, 6)]/[LCM(2, 4) × LCM (4, 6) × LCM(2, 6)].
☛ Highest Common Factor Calculator