Highest Common Factor of 435, 957 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 435, 957 i.e. 87 the largest integer that leaves a remainder zero for all numbers.

HCF of 435, 957 is 87 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 435, 957 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 435, 957 is 87.

HCF(435, 957) = 87

HCF of 435, 957 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 435, 957 is 87.

Highest Common Factor of 435,957 using Euclid's algorithm

Highest Common Factor of 435,957 is 87

Step 1: Since 957 > 435, we apply the division lemma to 957 and 435, to get

957 = 435 x 2 + 87

Step 2: Since the reminder 435 ≠ 0, we apply division lemma to 87 and 435, to get

435 = 87 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 87, the HCF of 435 and 957 is 87

Notice that 87 = HCF(435,87) = HCF(957,435) .

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Frequently Asked Questions on HCF of 435, 957 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 435, 957?

Answer: HCF of 435, 957 is 87 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 435, 957 using Euclid's Algorithm?

Answer: For arbitrary numbers 435, 957 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.