Highest Common Factor of 972, 648 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 972, 648 i.e. 324 the largest integer that leaves a remainder zero for all numbers.

HCF of 972, 648 is 324 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 972, 648 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 972, 648 is 324.

HCF(972, 648) = 324

HCF of 972, 648 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 972, 648 is 324.

Highest Common Factor of 972,648 using Euclid's algorithm

Highest Common Factor of 972,648 is 324

Step 1: Since 972 > 648, we apply the division lemma to 972 and 648, to get

972 = 648 x 1 + 324

Step 2: Since the reminder 648 ≠ 0, we apply division lemma to 324 and 648, to get

648 = 324 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 324, the HCF of 972 and 648 is 324

Notice that 324 = HCF(648,324) = HCF(972,648) .

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Frequently Asked Questions on HCF of 972, 648 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 972, 648?

Answer: HCF of 972, 648 is 324 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 972, 648 using Euclid's Algorithm?

Answer: For arbitrary numbers 972, 648 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.