Highest Common Factor of 957, 924 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 957, 924 i.e. 33 the largest integer that leaves a remainder zero for all numbers.

HCF of 957, 924 is 33 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 957, 924 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 957, 924 is 33.

HCF(957, 924) = 33

HCF of 957, 924 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 957, 924 is 33.

Highest Common Factor of 957,924 using Euclid's algorithm

Highest Common Factor of 957,924 is 33

Step 1: Since 957 > 924, we apply the division lemma to 957 and 924, to get

957 = 924 x 1 + 33

Step 2: Since the reminder 924 ≠ 0, we apply division lemma to 33 and 924, to get

924 = 33 x 28 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 33, the HCF of 957 and 924 is 33

Notice that 33 = HCF(924,33) = HCF(957,924) .

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Frequently Asked Questions on HCF of 957, 924 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 957, 924?

Answer: HCF of 957, 924 is 33 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 957, 924 using Euclid's Algorithm?

Answer: For arbitrary numbers 957, 924 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.