Highest Common Factor of 681, 908 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 681, 908 i.e. 227 the largest integer that leaves a remainder zero for all numbers.

HCF of 681, 908 is 227 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 681, 908 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 681, 908 is 227.

HCF(681, 908) = 227

HCF of 681, 908 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 681, 908 is 227.

Highest Common Factor of 681,908 using Euclid's algorithm

Highest Common Factor of 681,908 is 227

Step 1: Since 908 > 681, we apply the division lemma to 908 and 681, to get

908 = 681 x 1 + 227

Step 2: Since the reminder 681 ≠ 0, we apply division lemma to 227 and 681, to get

681 = 227 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 227, the HCF of 681 and 908 is 227

Notice that 227 = HCF(681,227) = HCF(908,681) .

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Frequently Asked Questions on HCF of 681, 908 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 681, 908?

Answer: HCF of 681, 908 is 227 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 681, 908 using Euclid's Algorithm?

Answer: For arbitrary numbers 681, 908 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.