Highest Common Factor of 731, 937 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 731, 937 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 731, 937 is 1 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 731, 937 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 731, 937 is 1.

HCF(731, 937) = 1

HCF of 731, 937 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 731, 937 is 1.

Highest Common Factor of 731,937 using Euclid's algorithm

Highest Common Factor of 731,937 is 1

Step 1: Since 937 > 731, we apply the division lemma to 937 and 731, to get

937 = 731 x 1 + 206

Step 2: Since the reminder 731 ≠ 0, we apply division lemma to 206 and 731, to get

731 = 206 x 3 + 113

Step 3: We consider the new divisor 206 and the new remainder 113, and apply the division lemma to get

206 = 113 x 1 + 93

We consider the new divisor 113 and the new remainder 93,and apply the division lemma to get

113 = 93 x 1 + 20

We consider the new divisor 93 and the new remainder 20,and apply the division lemma to get

93 = 20 x 4 + 13

We consider the new divisor 20 and the new remainder 13,and apply the division lemma to get

20 = 13 x 1 + 7

We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get

13 = 7 x 1 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 731 and 937 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(20,13) = HCF(93,20) = HCF(113,93) = HCF(206,113) = HCF(731,206) = HCF(937,731) .

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Frequently Asked Questions on HCF of 731, 937 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 731, 937?

Answer: HCF of 731, 937 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 731, 937 using Euclid's Algorithm?

Answer: For arbitrary numbers 731, 937 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.