# What is the HCF of 3 and 7?

The largest possible number which divides the given numbers exactly without any remainder is called the HCF (Highest Common Factor).

## Answer: HCF of 3 and 7 is 1

HCF of 3 and 7 is the highest number that divides 3 and 7 exactly leaving the remainder 0.

## Explanation:

We can find the HCF by the following methods.

- HCF of 3 and 7 by Listing Common Factors
- HCF of 3 and 7 by Long Division

### Method 1: Find HCF of 3 and 7 by Listing Common Factors

Factors of 3: 1, 3

Factors of 7: 1, 7

The common factor of 3 and 7 is 1

HCF is the product of the factors that are common to each of the given numbers.

So, HCF of 3 and 7 is 1

### Method 2: Find HCF of 3 and 7 by Long Division

The steps to find the HCF(3, 7) by long division are mentioned below.

**Step 1:** Divide 7 by 3 and check the remainder. We get remainder 1.

**Step 2:** Make the remainder of the above step 1 as the divisor and the divisor of the above step 3 as the dividend and perform the long division again.

**Step 3:** Continue till you get the remainder as 0 and the last divisor is the HCF of 3 and 7

The highest common factor of 3 and 7 is 1

You can find the HCF in any of the above methods but the solution will be the same.