Highest Common Factor of 286, 312 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 286, 312 i.e. 26 the largest integer that leaves a remainder zero for all numbers.

HCF of 286, 312 is 26 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 286, 312 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 286, 312 is 26.

HCF(286, 312) = 26

HCF of 286, 312 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 286, 312 is 26.

Highest Common Factor of 286,312 using Euclid's algorithm

Highest Common Factor of 286,312 is 26

Step 1: Since 312 > 286, we apply the division lemma to 312 and 286, to get

312 = 286 x 1 + 26

Step 2: Since the reminder 286 ≠ 0, we apply division lemma to 26 and 286, to get

286 = 26 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 26, the HCF of 286 and 312 is 26

Notice that 26 = HCF(286,26) = HCF(312,286) .

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Frequently Asked Questions on HCF of 286, 312 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 286, 312?

Answer: HCF of 286, 312 is 26 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 286, 312 using Euclid's Algorithm?

Answer: For arbitrary numbers 286, 312 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.