Highest Common Factor of 7981, 9629 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 7981, 9629 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7981, 9629 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 7981, 9629 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 7981, 9629 is 1.

HCF(7981, 9629) = 1

HCF of 7981, 9629 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 7981, 9629 is 1.

Highest Common Factor of 7981,9629 using Euclid's algorithm

Highest Common Factor of 7981,9629 is 1

Step 1: Since 9629 > 7981, we apply the division lemma to 9629 and 7981, to get

9629 = 7981 x 1 + 1648

Step 2: Since the reminder 7981 ≠ 0, we apply division lemma to 1648 and 7981, to get

7981 = 1648 x 4 + 1389

Step 3: We consider the new divisor 1648 and the new remainder 1389, and apply the division lemma to get

1648 = 1389 x 1 + 259

We consider the new divisor 1389 and the new remainder 259,and apply the division lemma to get

1389 = 259 x 5 + 94

We consider the new divisor 259 and the new remainder 94,and apply the division lemma to get

259 = 94 x 2 + 71

We consider the new divisor 94 and the new remainder 71,and apply the division lemma to get

94 = 71 x 1 + 23

We consider the new divisor 71 and the new remainder 23,and apply the division lemma to get

71 = 23 x 3 + 2

We consider the new divisor 23 and the new remainder 2,and apply the division lemma to get

23 = 2 x 11 + 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 7981 and 9629 is 1

Notice that 1 = HCF(2,1) = HCF(23,2) = HCF(71,23) = HCF(94,71) = HCF(259,94) = HCF(1389,259) = HCF(1648,1389) = HCF(7981,1648) = HCF(9629,7981) .

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Frequently Asked Questions on HCF of 7981, 9629 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 7981, 9629?

Answer: HCF of 7981, 9629 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7981, 9629 using Euclid's Algorithm?

Answer: For arbitrary numbers 7981, 9629 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.