Highest Common Factor of 8701, 5237 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 8701, 5237 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8701, 5237 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 8701, 5237 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 8701, 5237 is 1.

HCF(8701, 5237) = 1

HCF of 8701, 5237 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 8701, 5237 is 1.

Highest Common Factor of 8701,5237 using Euclid's algorithm

Highest Common Factor of 8701,5237 is 1

Step 1: Since 8701 > 5237, we apply the division lemma to 8701 and 5237, to get

8701 = 5237 x 1 + 3464

Step 2: Since the reminder 5237 ≠ 0, we apply division lemma to 3464 and 5237, to get

5237 = 3464 x 1 + 1773

Step 3: We consider the new divisor 3464 and the new remainder 1773, and apply the division lemma to get

3464 = 1773 x 1 + 1691

We consider the new divisor 1773 and the new remainder 1691,and apply the division lemma to get

1773 = 1691 x 1 + 82

We consider the new divisor 1691 and the new remainder 82,and apply the division lemma to get

1691 = 82 x 20 + 51

We consider the new divisor 82 and the new remainder 51,and apply the division lemma to get

82 = 51 x 1 + 31

We consider the new divisor 51 and the new remainder 31,and apply the division lemma to get

51 = 31 x 1 + 20

We consider the new divisor 31 and the new remainder 20,and apply the division lemma to get

31 = 20 x 1 + 11

We consider the new divisor 20 and the new remainder 11,and apply the division lemma to get

20 = 11 x 1 + 9

We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get

11 = 9 x 1 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 8701 and 5237 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(20,11) = HCF(31,20) = HCF(51,31) = HCF(82,51) = HCF(1691,82) = HCF(1773,1691) = HCF(3464,1773) = HCF(5237,3464) = HCF(8701,5237) .

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Frequently Asked Questions on HCF of 8701, 5237 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 8701, 5237?

Answer: HCF of 8701, 5237 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8701, 5237 using Euclid's Algorithm?

Answer: For arbitrary numbers 8701, 5237 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.