Highest Common Factor of 9320, 7687 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 9320, 7687 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9320, 7687 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 9320, 7687 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 9320, 7687 is 1.

HCF(9320, 7687) = 1

HCF of 9320, 7687 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 9320, 7687 is 1.

Highest Common Factor of 9320,7687 using Euclid's algorithm

Highest Common Factor of 9320,7687 is 1

Step 1: Since 9320 > 7687, we apply the division lemma to 9320 and 7687, to get

9320 = 7687 x 1 + 1633

Step 2: Since the reminder 7687 ≠ 0, we apply division lemma to 1633 and 7687, to get

7687 = 1633 x 4 + 1155

Step 3: We consider the new divisor 1633 and the new remainder 1155, and apply the division lemma to get

1633 = 1155 x 1 + 478

We consider the new divisor 1155 and the new remainder 478,and apply the division lemma to get

1155 = 478 x 2 + 199

We consider the new divisor 478 and the new remainder 199,and apply the division lemma to get

478 = 199 x 2 + 80

We consider the new divisor 199 and the new remainder 80,and apply the division lemma to get

199 = 80 x 2 + 39

We consider the new divisor 80 and the new remainder 39,and apply the division lemma to get

80 = 39 x 2 + 2

We consider the new divisor 39 and the new remainder 2,and apply the division lemma to get

39 = 2 x 19 + 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 9320 and 7687 is 1

Notice that 1 = HCF(2,1) = HCF(39,2) = HCF(80,39) = HCF(199,80) = HCF(478,199) = HCF(1155,478) = HCF(1633,1155) = HCF(7687,1633) = HCF(9320,7687) .

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Frequently Asked Questions on HCF of 9320, 7687 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 9320, 7687?

Answer: HCF of 9320, 7687 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9320, 7687 using Euclid's Algorithm?

Answer: For arbitrary numbers 9320, 7687 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.