Highest Common Factor of 924, 913 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 924, 913 i.e. 11 the largest integer that leaves a remainder zero for all numbers.

HCF of 924, 913 is 11 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 924, 913 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 924, 913 is 11.

HCF(924, 913) = 11

HCF of 924, 913 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 924, 913 is 11.

Highest Common Factor of 924,913 using Euclid's algorithm

Highest Common Factor of 924,913 is 11

Step 1: Since 924 > 913, we apply the division lemma to 924 and 913, to get

924 = 913 x 1 + 11

Step 2: Since the reminder 913 ≠ 0, we apply division lemma to 11 and 913, to get

913 = 11 x 83 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 924 and 913 is 11

Notice that 11 = HCF(913,11) = HCF(924,913) .

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Frequently Asked Questions on HCF of 924, 913 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 924, 913?

Answer: HCF of 924, 913 is 11 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 924, 913 using Euclid's Algorithm?

Answer: For arbitrary numbers 924, 913 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.