Highest Common Factor of 7647, 3116, 23514 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 7647, 3116, 23514 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7647, 3116, 23514 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 7647, 3116, 23514 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 7647, 3116, 23514 is 1.

HCF(7647, 3116, 23514) = 1

HCF of 7647, 3116, 23514 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 7647, 3116, 23514 is 1.

Highest Common Factor of 7647,3116,23514 using Euclid's algorithm

Highest Common Factor of 7647,3116,23514 is 1

Step 1: Since 7647 > 3116, we apply the division lemma to 7647 and 3116, to get

7647 = 3116 x 2 + 1415

Step 2: Since the reminder 3116 ≠ 0, we apply division lemma to 1415 and 3116, to get

3116 = 1415 x 2 + 286

Step 3: We consider the new divisor 1415 and the new remainder 286, and apply the division lemma to get

1415 = 286 x 4 + 271

We consider the new divisor 286 and the new remainder 271,and apply the division lemma to get

286 = 271 x 1 + 15

We consider the new divisor 271 and the new remainder 15,and apply the division lemma to get

271 = 15 x 18 + 1

We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get

15 = 1 x 15 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7647 and 3116 is 1

Notice that 1 = HCF(15,1) = HCF(271,15) = HCF(286,271) = HCF(1415,286) = HCF(3116,1415) = HCF(7647,3116) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 23514 > 1, we apply the division lemma to 23514 and 1, to get

23514 = 1 x 23514 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 23514 is 1

Notice that 1 = HCF(23514,1) .

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Frequently Asked Questions on HCF of 7647, 3116, 23514 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 7647, 3116, 23514?

Answer: HCF of 7647, 3116, 23514 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7647, 3116, 23514 using Euclid's Algorithm?

Answer: For arbitrary numbers 7647, 3116, 23514 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.