Highest Common Factor of 8057, 9617 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 8057, 9617 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8057, 9617 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 8057, 9617 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 8057, 9617 is 1.

HCF(8057, 9617) = 1

HCF of 8057, 9617 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 8057, 9617 is 1.

Highest Common Factor of 8057,9617 using Euclid's algorithm

Highest Common Factor of 8057,9617 is 1

Step 1: Since 9617 > 8057, we apply the division lemma to 9617 and 8057, to get

9617 = 8057 x 1 + 1560

Step 2: Since the reminder 8057 ≠ 0, we apply division lemma to 1560 and 8057, to get

8057 = 1560 x 5 + 257

Step 3: We consider the new divisor 1560 and the new remainder 257, and apply the division lemma to get

1560 = 257 x 6 + 18

We consider the new divisor 257 and the new remainder 18,and apply the division lemma to get

257 = 18 x 14 + 5

We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get

18 = 5 x 3 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 8057 and 9617 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(257,18) = HCF(1560,257) = HCF(8057,1560) = HCF(9617,8057) .

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Frequently Asked Questions on HCF of 8057, 9617 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 8057, 9617?

Answer: HCF of 8057, 9617 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8057, 9617 using Euclid's Algorithm?

Answer: For arbitrary numbers 8057, 9617 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.