HCF of 10 and 12

The HCF of 10 and 12 is 2. The given numbers 10 and 12 are divisible exactly by the HCF. The factors of 10 are 1, 2, 5, 10, and the factors of 12 are 1, 2, 3, 4, 6, 12. The methods to find the HCF are prime factorisation, long division and listing common factors. The subject experts curated this article after extensive research to provide a strong hold on the fundamentals of Maths among students.

Also read: Highest common factor

What is the HCF of 10 and 12?

The answer to this question is 2. Using three different methods, the HCF of 10 and 12 can be calculated. The HCF of 10 and 12 is 2, which divides the given numbers exactly.

How to Find HCF of 10 and 12?

The methods to get the HCF of 10 and 12 are:

• Prime Factorisation
• Long Division method
• Listing common factors

HCF of 10 and 12 by Prime Factorisation Method

The prime factorisation of 10 and 12 is:

10 = 2 × 5

12 = 2 × 2 × 3

The common prime factors of 10 and 12 = 2

Hence, HCF (10, 12) = 2

HCF of 10 and 12 by Long Division Method

Let us divide (10, 12) by the factors to get the HCF of 10 and 12. The divisor in the long division when the remainder is zero is the HCF value.

No further division can be done.

Hence, HCF (10, 12) = 2

HCF of 10 and 12 by Listing Common Factors

The HCF of 10 and 12 by listing common factors is shown here:

Factors of 10: 1, 2, 5, 10

Factors of 12: 1, 2, 3, 4, 6, 12

There are 2 common factors of 10 and 12, and they are 1 and 2.

Therefore, the highest common factor of 10 and 12 is 2.

Related Articles

• Prime Factorization Calculator
• Properties of HCF and LCM
• Prime Factorisation and Division Method for HCF and LCM
• Prime Factorisation
• GCD Calculator

Video Lesson on Properties of HCF and LCM

HCF of 10 and 12 Solved Example

Question: If the LCM is 60, calculate the HCF of 10 and 12.

Solution:

Given

LCM = 60

HCF × LCM = 10 × 12

HCF = (10 × 12)/ 60

HCF = 2

Hence, the HCF is 2.