Highest Common Factor of 7710, 9521 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 7710, 9521 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7710, 9521 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 7710, 9521 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 7710, 9521 is 1.

HCF(7710, 9521) = 1

HCF of 7710, 9521 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 7710, 9521 is 1.

Highest Common Factor of 7710,9521 using Euclid's algorithm

Highest Common Factor of 7710,9521 is 1

Step 1: Since 9521 > 7710, we apply the division lemma to 9521 and 7710, to get

9521 = 7710 x 1 + 1811

Step 2: Since the reminder 7710 ≠ 0, we apply division lemma to 1811 and 7710, to get

7710 = 1811 x 4 + 466

Step 3: We consider the new divisor 1811 and the new remainder 466, and apply the division lemma to get

1811 = 466 x 3 + 413

We consider the new divisor 466 and the new remainder 413,and apply the division lemma to get

466 = 413 x 1 + 53

We consider the new divisor 413 and the new remainder 53,and apply the division lemma to get

413 = 53 x 7 + 42

We consider the new divisor 53 and the new remainder 42,and apply the division lemma to get

53 = 42 x 1 + 11

We consider the new divisor 42 and the new remainder 11,and apply the division lemma to get

42 = 11 x 3 + 9

We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get

11 = 9 x 1 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 7710 and 9521 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(42,11) = HCF(53,42) = HCF(413,53) = HCF(466,413) = HCF(1811,466) = HCF(7710,1811) = HCF(9521,7710) .

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Frequently Asked Questions on HCF of 7710, 9521 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 7710, 9521?

Answer: HCF of 7710, 9521 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7710, 9521 using Euclid's Algorithm?

Answer: For arbitrary numbers 7710, 9521 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.