Highest Common Factor of 237, 316 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 237, 316 i.e. 79 the largest integer that leaves a remainder zero for all numbers.

HCF of 237, 316 is 79 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 237, 316 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 237, 316 is 79.

HCF(237, 316) = 79

HCF of 237, 316 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 237, 316 is 79.

Highest Common Factor of 237,316 using Euclid's algorithm

Highest Common Factor of 237,316 is 79

Step 1: Since 316 > 237, we apply the division lemma to 316 and 237, to get

316 = 237 x 1 + 79

Step 2: Since the reminder 237 ≠ 0, we apply division lemma to 79 and 237, to get

237 = 79 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 79, the HCF of 237 and 316 is 79

Notice that 79 = HCF(237,79) = HCF(316,237) .

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Frequently Asked Questions on HCF of 237, 316 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 237, 316?

Answer: HCF of 237, 316 is 79 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 237, 316 using Euclid's Algorithm?

Answer: For arbitrary numbers 237, 316 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.