Highest Common Factor of 7630, 5051, 96639 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 7630, 5051, 96639 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7630, 5051, 96639 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 7630, 5051, 96639 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 7630, 5051, 96639 is 1.

HCF(7630, 5051, 96639) = 1

HCF of 7630, 5051, 96639 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 7630, 5051, 96639 is 1.

Highest Common Factor of 7630,5051,96639 using Euclid's algorithm

Highest Common Factor of 7630,5051,96639 is 1

Step 1: Since 7630 > 5051, we apply the division lemma to 7630 and 5051, to get

7630 = 5051 x 1 + 2579

Step 2: Since the reminder 5051 ≠ 0, we apply division lemma to 2579 and 5051, to get

5051 = 2579 x 1 + 2472

Step 3: We consider the new divisor 2579 and the new remainder 2472, and apply the division lemma to get

2579 = 2472 x 1 + 107

We consider the new divisor 2472 and the new remainder 107,and apply the division lemma to get

2472 = 107 x 23 + 11

We consider the new divisor 107 and the new remainder 11,and apply the division lemma to get

107 = 11 x 9 + 8

We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get

11 = 8 x 1 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 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 7630 and 5051 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(107,11) = HCF(2472,107) = HCF(2579,2472) = HCF(5051,2579) = HCF(7630,5051) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 96639 > 1, we apply the division lemma to 96639 and 1, to get

96639 = 1 x 96639 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 96639 is 1

Notice that 1 = HCF(96639,1) .

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Frequently Asked Questions on HCF of 7630, 5051, 96639 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 7630, 5051, 96639?

Answer: HCF of 7630, 5051, 96639 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7630, 5051, 96639 using Euclid's Algorithm?

Answer: For arbitrary numbers 7630, 5051, 96639 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.