Highest Common Factor of 596, 61637 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 596, 61637 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 596, 61637 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 596, 61637 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 596, 61637 is 1.

HCF(596, 61637) = 1

HCF of 596, 61637 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 596, 61637 is 1.

Highest Common Factor of 596,61637 using Euclid's algorithm

Highest Common Factor of 596,61637 is 1

Step 1: Since 61637 > 596, we apply the division lemma to 61637 and 596, to get

61637 = 596 x 103 + 249

Step 2: Since the reminder 596 ≠ 0, we apply division lemma to 249 and 596, to get

596 = 249 x 2 + 98

Step 3: We consider the new divisor 249 and the new remainder 98, and apply the division lemma to get

249 = 98 x 2 + 53

We consider the new divisor 98 and the new remainder 53,and apply the division lemma to get

98 = 53 x 1 + 45

We consider the new divisor 53 and the new remainder 45,and apply the division lemma to get

53 = 45 x 1 + 8

We consider the new divisor 45 and the new remainder 8,and apply the division lemma to get

45 = 8 x 5 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 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 596 and 61637 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(45,8) = HCF(53,45) = HCF(98,53) = HCF(249,98) = HCF(596,249) = HCF(61637,596) .

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Frequently Asked Questions on HCF of 596, 61637 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 596, 61637?

Answer: HCF of 596, 61637 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 596, 61637 using Euclid's Algorithm?

Answer: For arbitrary numbers 596, 61637 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.