Highest Common Factor of 7815, 5287 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 7815, 5287 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7815, 5287 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 7815, 5287 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 7815, 5287 is 1.

HCF(7815, 5287) = 1

HCF of 7815, 5287 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 7815, 5287 is 1.

Highest Common Factor of 7815,5287 using Euclid's algorithm

Highest Common Factor of 7815,5287 is 1

Step 1: Since 7815 > 5287, we apply the division lemma to 7815 and 5287, to get

7815 = 5287 x 1 + 2528

Step 2: Since the reminder 5287 ≠ 0, we apply division lemma to 2528 and 5287, to get

5287 = 2528 x 2 + 231

Step 3: We consider the new divisor 2528 and the new remainder 231, and apply the division lemma to get

2528 = 231 x 10 + 218

We consider the new divisor 231 and the new remainder 218,and apply the division lemma to get

231 = 218 x 1 + 13

We consider the new divisor 218 and the new remainder 13,and apply the division lemma to get

218 = 13 x 16 + 10

We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get

13 = 10 x 1 + 3

We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get

10 = 3 x 3 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7815 and 5287 is 1

Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(218,13) = HCF(231,218) = HCF(2528,231) = HCF(5287,2528) = HCF(7815,5287) .

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Frequently Asked Questions on HCF of 7815, 5287 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 7815, 5287?

Answer: HCF of 7815, 5287 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7815, 5287 using Euclid's Algorithm?

Answer: For arbitrary numbers 7815, 5287 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.