HCF of 6 and 20

The HCF of 6 and 20 is 2. The number which can divide 6 and 20 evenly is the HCF value. The factors of 6 are 1, 2, 3, and 6, and the factors of 20 are 1, 2, 4, 5, 10, and 20. The methods used in the determination of the HCF, i.e. prime factorisation, long division and listing common factors are explained in depth in this article by the subject experts, at BYJU’S, with vast experience in Maths.

Also read: Highest common factor

What is the HCF of 6 and 20?

The answer to this question is 2. The methods used to get the value of HCF of 6 and 20 are discussed comprehensively here. The HCF of 6 and 20 is 2, which divides the two given numbers.

How to Find HCF of 6 and 20?

The three methods to obtain the HCF value of 6 and 20 are:

  • Prime Factorisation
  • Long Division method
  • Listing common factors

HCF of 6 and 20 by Prime Factorisation Method

The prime factorisation of 6 and 20 is given by:

6 = 2 × 3

20 = 2 × 2 × 5

Common prime factors of 6 and 20 = 2

Therefore, HCF (6, 20) = 2

HCF of 6 and 20 by Long Division Method

The numbers (6, 20) divided by the prime factors help to get the HCF of 6 and 20. The divisor, when the remainder is zero, is the HCF value.

HCF of 6 and 20

No further division can be done.

Hence, HCF (6, 20) = 2

HCF of 6 and 20 by Listing the Factors

Learn to find the HCF of 6 and 20 by listing the common factors here:

Factors of 6: 1, 2, 3, 6

Factors of 20: 1, 2, 4, 5, 10, 20

There are 2 common factors of 6 and 20, and they are 1 and 2.

Therefore, the highest common factor of 6 and 20 is 2.

Related Articles

Video Lesson on Properties of HCF and LCM

HCF of 6 and 20 Solved Example

Question: Find the LCM if the product of two numbers is 120 and HCF is 2.

Solution:

Given

Product = 120

HCF = 2

LCM × HCF = Product

LCM = Product/HCF

LCM = 120/2

LCM = 60

Hence, the LCM is 60.

Frequently Asked Questions on HCF of 6 and 20

Q1

What is the HCF of 6 and 20?

The HCF of 6 and 20 is 2.
Q2

How to calculate the HCF of 6 and 20 using the long division method?

The HCF of 6 and 20 can be calculated using the long division method, by dividing 20 by 6. The corresponding divisor (2) we get when the remainder is zero is the HCF.
Q3

List the methods to determine HCF of 6 and 20.

The methods to determine the HCF of 6 and 20 are Long Division, Listing the Common Factors and Prime Factorisation.
Q4

Determine the HCF of 6 and 20 using prime factorisation.

Using prime factorisation,

6 = 2 × 3

20 = 2 × 2 × 5

Therefore, the HCF is 2.

Q5

What is the relation between HCF and LCM of 6 and 20?

The relation between HCF and LCM of 6 and 20 is

HCF × LCM = 6 × 20

HCF × LCM = 120

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