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HCF of 2 and 4

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 2 and 4 Examples

Example 1: Find the HCF of 2 and 4, if their LCM is 4.

Solution:

∵ LCM × HCF = 2 × 4
⇒ HCF(2, 4) = (2 × 4)/4 = 2
Therefore, the highest common factor of 2 and 4 is 2.
Example 2: Find the highest number that divides 2 and 4 exactly.

Solution:

The highest number that divides 2 and 4 exactly is their highest common factor, i.e. HCF of 2 and 4.
⇒ Factors of 2 and 4:
- Factors of 2 = 1, 2
- Factors of 4 = 1, 2, 4
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?

Solution:

Given: HCF = 2 and product of numbers = 8
∵ LCM × HCF = product of numbers
⇒ LCM = Product/HCF = 8/2
Therefore, the LCM is 4.

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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.

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