Highest Common Factor of 7957, 3331 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 7957, 3331 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7957, 3331 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 7957, 3331 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 7957, 3331 is 1.

HCF(7957, 3331) = 1

HCF of 7957, 3331 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 7957, 3331 is 1.

Highest Common Factor of 7957,3331 using Euclid's algorithm

Highest Common Factor of 7957,3331 is 1

Step 1: Since 7957 > 3331, we apply the division lemma to 7957 and 3331, to get

7957 = 3331 x 2 + 1295

Step 2: Since the reminder 3331 ≠ 0, we apply division lemma to 1295 and 3331, to get

3331 = 1295 x 2 + 741

Step 3: We consider the new divisor 1295 and the new remainder 741, and apply the division lemma to get

1295 = 741 x 1 + 554

We consider the new divisor 741 and the new remainder 554,and apply the division lemma to get

741 = 554 x 1 + 187

We consider the new divisor 554 and the new remainder 187,and apply the division lemma to get

554 = 187 x 2 + 180

We consider the new divisor 187 and the new remainder 180,and apply the division lemma to get

187 = 180 x 1 + 7

We consider the new divisor 180 and the new remainder 7,and apply the division lemma to get

180 = 7 x 25 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7957 and 3331 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(180,7) = HCF(187,180) = HCF(554,187) = HCF(741,554) = HCF(1295,741) = HCF(3331,1295) = HCF(7957,3331) .

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Frequently Asked Questions on HCF of 7957, 3331 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 7957, 3331?

Answer: HCF of 7957, 3331 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7957, 3331 using Euclid's Algorithm?

Answer: For arbitrary numbers 7957, 3331 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.