HCF of 2 and 4 is the largest possible number that divides 2 and 4 exactly without any remainder. The factors of 2 and 4 are 1, 2 and 1, 2, 4 respectively. There are 3 commonly used methods to find the HCF of 2 and 4 - long division, prime factorization, and Euclidean algorithm.
| 1. | HCF of 2 and 4 |
| 2. | List of Methods |
| 3. | Solved Examples |
| 4. | FAQs |
What is HCF of 2 and 4?
Answer: HCF of 2 and 4 is 2.
Explanation:
The HCF of two non-zero integers, x(2) and y(4), is the highest positive integer m(2) that divides both x(2) and y(4) without any remainder.
Methods to Find HCF of 2 and 4
Let's look at the different methods for finding the HCF of 2 and 4.
- Listing Common Factors
- Prime Factorization Method
- Long Division Method
HCF of 2 and 4 by Listing Common Factors
- Factors of 2: 1, 2
- Factors of 4: 1, 2, 4
There are 2 common factors of 2 and 4, that are 1 and 2. Therefore, the highest common factor of 2 and 4 is 2.
HCF of 2 and 4 by Prime Factorization
Prime factorization of 2 and 4 is (2) and (2 × 2) respectively. As visible, 2 and 4 have only one common prime factor i.e. 2. Hence, the HCF of 2 and 4 is 2.
HCF of 2 and 4 by Long Division
HCF of 2 and 4 is the divisor that we get when the remainder becomes 0 after doing long division repeatedly.
- Step 1: Divide 4 (larger number) by 2 (smaller number).
- Step 2: Since the remainder = 0, the divisor (2) is the HCF of 2 and 4.
The corresponding divisor (2) is the HCF of 2 and 4.
☛ Also Check:
- HCF of 1 and 2 = 1
- HCF of 4 and 12 = 4
- HCF of 64 and 72 = 8
- HCF of 240 and 6552 = 24
- HCF of 504 and 980 = 28
- HCF of 28 and 56 = 28
- HCF of 4052 and 12576 = 4
FAQs on HCF of 2 and 4
What is the HCF of 2 and 4?
The HCF of 2 and 4 is 2. To calculate the HCF (Highest Common Factor) of 2 and 4, we need to factor each number (factors of 2 = 1, 2; factors of 4 = 1, 2, 4) and choose the highest factor that exactly divides both 2 and 4, i.e., 2.
How to Find the HCF of 2 and 4 by Prime Factorization?
To find the HCF of 2 and 4, we will find the prime factorization of the given numbers, i.e. 2 = 2; 4 = 2 × 2.
⇒ Since 2 is the only common prime factor of 2 and 4. Hence, HCF (2, 4) = 2.
☛ What is a Prime Number?
What is the Relation Between LCM and HCF of 2, 4?
The following equation can be used to express the relation between LCM and HCF of 2 and 4, i.e. HCF × LCM = 2 × 4.
If the HCF of 4 and 2 is 2, Find its LCM.
HCF(4, 2) × LCM(4, 2) = 4 × 2
Since the HCF of 4 and 2 = 2
⇒ 2 × LCM(4, 2) = 8
Therefore, LCM = 4
☛ Highest Common Factor Calculator
What are the Methods to Find HCF of 2 and 4?
There are three commonly used methods to find the HCF of 2 and 4.
- By Prime Factorization
- By Listing Common Factors
- By Long Division
How to Find the HCF of 2 and 4 by Long Division Method?
To find the HCF of 2, 4 using long division method, 4 is divided by 2. The corresponding divisor (2) when remainder equals 0 is taken as HCF.
