Highest Common Factor of 9715, 2514 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 9715, 2514 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9715, 2514 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 9715, 2514 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 9715, 2514 is 1.

HCF(9715, 2514) = 1

HCF of 9715, 2514 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 9715, 2514 is 1.

Highest Common Factor of 9715,2514 using Euclid's algorithm

Highest Common Factor of 9715,2514 is 1

Step 1: Since 9715 > 2514, we apply the division lemma to 9715 and 2514, to get

9715 = 2514 x 3 + 2173

Step 2: Since the reminder 2514 ≠ 0, we apply division lemma to 2173 and 2514, to get

2514 = 2173 x 1 + 341

Step 3: We consider the new divisor 2173 and the new remainder 341, and apply the division lemma to get

2173 = 341 x 6 + 127

We consider the new divisor 341 and the new remainder 127,and apply the division lemma to get

341 = 127 x 2 + 87

We consider the new divisor 127 and the new remainder 87,and apply the division lemma to get

127 = 87 x 1 + 40

We consider the new divisor 87 and the new remainder 40,and apply the division lemma to get

87 = 40 x 2 + 7

We consider the new divisor 40 and the new remainder 7,and apply the division lemma to get

40 = 7 x 5 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 9715 and 2514 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(40,7) = HCF(87,40) = HCF(127,87) = HCF(341,127) = HCF(2173,341) = HCF(2514,2173) = HCF(9715,2514) .

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Frequently Asked Questions on HCF of 9715, 2514 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 9715, 2514?

Answer: HCF of 9715, 2514 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9715, 2514 using Euclid's Algorithm?

Answer: For arbitrary numbers 9715, 2514 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.