Highest Common Factor of 931, 882 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 931, 882 i.e. 49 the largest integer that leaves a remainder zero for all numbers.

HCF of 931, 882 is 49 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 931, 882 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 931, 882 is 49.

HCF(931, 882) = 49

HCF of 931, 882 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 931, 882 is 49.

Highest Common Factor of 931,882 using Euclid's algorithm

Highest Common Factor of 931,882 is 49

Step 1: Since 931 > 882, we apply the division lemma to 931 and 882, to get

931 = 882 x 1 + 49

Step 2: Since the reminder 882 ≠ 0, we apply division lemma to 49 and 882, to get

882 = 49 x 18 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 49, the HCF of 931 and 882 is 49

Notice that 49 = HCF(882,49) = HCF(931,882) .

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Frequently Asked Questions on HCF of 931, 882 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 931, 882?

Answer: HCF of 931, 882 is 49 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 931, 882 using Euclid's Algorithm?

Answer: For arbitrary numbers 931, 882 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.