Highest Common Factor of 8061, 9917 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 8061, 9917 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8061, 9917 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 8061, 9917 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 8061, 9917 is 1.

HCF(8061, 9917) = 1

HCF of 8061, 9917 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 8061, 9917 is 1.

Highest Common Factor of 8061,9917 using Euclid's algorithm

Highest Common Factor of 8061,9917 is 1

Step 1: Since 9917 > 8061, we apply the division lemma to 9917 and 8061, to get

9917 = 8061 x 1 + 1856

Step 2: Since the reminder 8061 ≠ 0, we apply division lemma to 1856 and 8061, to get

8061 = 1856 x 4 + 637

Step 3: We consider the new divisor 1856 and the new remainder 637, and apply the division lemma to get

1856 = 637 x 2 + 582

We consider the new divisor 637 and the new remainder 582,and apply the division lemma to get

637 = 582 x 1 + 55

We consider the new divisor 582 and the new remainder 55,and apply the division lemma to get

582 = 55 x 10 + 32

We consider the new divisor 55 and the new remainder 32,and apply the division lemma to get

55 = 32 x 1 + 23

We consider the new divisor 32 and the new remainder 23,and apply the division lemma to get

32 = 23 x 1 + 9

We consider the new divisor 23 and the new remainder 9,and apply the division lemma to get

23 = 9 x 2 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8061 and 9917 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(23,9) = HCF(32,23) = HCF(55,32) = HCF(582,55) = HCF(637,582) = HCF(1856,637) = HCF(8061,1856) = HCF(9917,8061) .

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Frequently Asked Questions on HCF of 8061, 9917 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 8061, 9917?

Answer: HCF of 8061, 9917 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8061, 9917 using Euclid's Algorithm?

Answer: For arbitrary numbers 8061, 9917 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.