Highest Common Factor of 8597, 5138 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 8597, 5138 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8597, 5138 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 8597, 5138 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 8597, 5138 is 1.

HCF(8597, 5138) = 1

HCF of 8597, 5138 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 8597, 5138 is 1.

Highest Common Factor of 8597,5138 using Euclid's algorithm

Highest Common Factor of 8597,5138 is 1

Step 1: Since 8597 > 5138, we apply the division lemma to 8597 and 5138, to get

8597 = 5138 x 1 + 3459

Step 2: Since the reminder 5138 ≠ 0, we apply division lemma to 3459 and 5138, to get

5138 = 3459 x 1 + 1679

Step 3: We consider the new divisor 3459 and the new remainder 1679, and apply the division lemma to get

3459 = 1679 x 2 + 101

We consider the new divisor 1679 and the new remainder 101,and apply the division lemma to get

1679 = 101 x 16 + 63

We consider the new divisor 101 and the new remainder 63,and apply the division lemma to get

101 = 63 x 1 + 38

We consider the new divisor 63 and the new remainder 38,and apply the division lemma to get

63 = 38 x 1 + 25

We consider the new divisor 38 and the new remainder 25,and apply the division lemma to get

38 = 25 x 1 + 13

We consider the new divisor 25 and the new remainder 13,and apply the division lemma to get

25 = 13 x 1 + 12

We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get

13 = 12 x 1 + 1

We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8597 and 5138 is 1

Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(25,13) = HCF(38,25) = HCF(63,38) = HCF(101,63) = HCF(1679,101) = HCF(3459,1679) = HCF(5138,3459) = HCF(8597,5138) .

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Frequently Asked Questions on HCF of 8597, 5138 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 8597, 5138?

Answer: HCF of 8597, 5138 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8597, 5138 using Euclid's Algorithm?

Answer: For arbitrary numbers 8597, 5138 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.