Highest Common Factor of 968, 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 968, 924 i.e. 44 the largest integer that leaves a remainder zero for all numbers.

HCF of 968, 924 is 44 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 968, 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 968, 924 is 44.

HCF(968, 924) = 44

HCF of 968, 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 968, 924 is 44.

Highest Common Factor of 968,924 using Euclid's algorithm

Highest Common Factor of 968,924 is 44

Step 1: Since 968 > 924, we apply the division lemma to 968 and 924, to get

968 = 924 x 1 + 44

Step 2: Since the reminder 924 ≠ 0, we apply division lemma to 44 and 924, to get

924 = 44 x 21 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 44, the HCF of 968 and 924 is 44

Notice that 44 = HCF(924,44) = HCF(968,924) .

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Frequently Asked Questions on HCF of 968, 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 968, 924?

Answer: HCF of 968, 924 is 44 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 968, 924 using Euclid's Algorithm?

Answer: For arbitrary numbers 968, 924 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.