HCF of 4 and 9 is the largest possible number that divides 4 and 9 exactly without any remainder. The factors of 4 and 9 are 1, 2, 4 and 1, 3, 9 respectively. There are 3 commonly used methods to find the HCF of 4 and 9 - prime factorization, Euclidean algorithm, and long division.
| 1. | HCF of 4 and 9 |
| 2. | List of Methods |
| 3. | Solved Examples |
| 4. | FAQs |
What is HCF of 4 and 9?
Answer: HCF of 4 and 9 is 1.
Explanation:
The HCF of two non-zero integers, x(4) and y(9), is the highest positive integer m(1) that divides both x(4) and y(9) without any remainder.
Methods to Find HCF of 4 and 9
The methods to find the HCF of 4 and 9 are explained below.
- Listing Common Factors
- Prime Factorization Method
- Long Division Method
HCF of 4 and 9 by Listing Common Factors
- Factors of 4: 1, 2, 4
- Factors of 9: 1, 3, 9
Since, 1 is the only common factor between 4 and 9. The highest common factor of 4 and 9 is 1.
HCF of 4 and 9 by Prime Factorization
Prime factorization of 4 and 9 is (2 × 2) and (3 × 3) respectively. As visible, there are no common prime factors between 4 and 9, i.e. they are coprime. Hence, the HCF of 4 and 9 will be 1.
HCF of 4 and 9 by Long Division
HCF of 4 and 9 is the divisor that we get when the remainder becomes 0 after doing long division repeatedly.
- Step 1: Divide 9 (larger number) by 4 (smaller number).
- Step 2: Since the remainder ≠ 0, we will divide the divisor of step 1 (4) by the remainder (1).
- Step 3: Repeat this process until the remainder = 0.
The corresponding divisor (1) is the HCF of 4 and 9.
☛ Also Check:
- HCF of 90 and 120 = 30
- HCF of 4 and 6 = 2
- HCF of 36 and 63 = 9
- HCF of 84 and 144 = 12
- HCF of 36, 42 and 48 = 6
- HCF of 2, 3 and 4 = 1
- HCF of 4 and 16 = 4
FAQs on HCF of 4 and 9
What is the HCF of 4 and 9?
The HCF of 4 and 9 is 1. To calculate the Highest common factor of 4 and 9, we need to factor each number (factors of 4 = 1, 2, 4; factors of 9 = 1, 3, 9) and choose the highest factor that exactly divides both 4 and 9, i.e., 1.
How to Find the HCF of 4 and 9 by Long Division Method?
To find the HCF of 4, 9 using long division method, 9 is divided by 4. The corresponding divisor (1) when remainder equals 0 is taken as HCF.
How to Find the HCF of 4 and 9 by Prime Factorization?
To find the HCF of 4 and 9, we will find the prime factorization of the given numbers, i.e. 4 = 2 × 2; 9 = 3 × 3.
⇒ There is no common prime factor for 4 and 9. Hence, HCF (4, 9) = 1.
☛ What is a Prime Number?
What is the Relation Between LCM and HCF of 4, 9?
The following equation can be used to express the relation between Least Common Multiple and HCF of 4 and 9, i.e. HCF × LCM = 4 × 9.
If the HCF of 9 and 4 is 1, Find its LCM.
HCF(9, 4) × LCM(9, 4) = 9 × 4
Since the HCF of 9 and 4 = 1
⇒ 1 × LCM(9, 4) = 36
Therefore, LCM = 36
☛ HCF Calculator
What are the Methods to Find HCF of 4 and 9?
There are three commonly used methods to find the HCF of 4 and 9.
- By Prime Factorization
- By Long Division
- By Listing Common Factors
