Highest Common Factor of 8557, 4616 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 8557, 4616 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8557, 4616 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 8557, 4616 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 8557, 4616 is 1.

HCF(8557, 4616) = 1

HCF of 8557, 4616 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 8557, 4616 is 1.

Highest Common Factor of 8557,4616 using Euclid's algorithm

Highest Common Factor of 8557,4616 is 1

Step 1: Since 8557 > 4616, we apply the division lemma to 8557 and 4616, to get

8557 = 4616 x 1 + 3941

Step 2: Since the reminder 4616 ≠ 0, we apply division lemma to 3941 and 4616, to get

4616 = 3941 x 1 + 675

Step 3: We consider the new divisor 3941 and the new remainder 675, and apply the division lemma to get

3941 = 675 x 5 + 566

We consider the new divisor 675 and the new remainder 566,and apply the division lemma to get

675 = 566 x 1 + 109

We consider the new divisor 566 and the new remainder 109,and apply the division lemma to get

566 = 109 x 5 + 21

We consider the new divisor 109 and the new remainder 21,and apply the division lemma to get

109 = 21 x 5 + 4

We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get

21 = 4 x 5 + 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 8557 and 4616 is 1

Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(109,21) = HCF(566,109) = HCF(675,566) = HCF(3941,675) = HCF(4616,3941) = HCF(8557,4616) .

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Frequently Asked Questions on HCF of 8557, 4616 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 8557, 4616?

Answer: HCF of 8557, 4616 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8557, 4616 using Euclid's Algorithm?

Answer: For arbitrary numbers 8557, 4616 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.