Highest Common Factor of 9251, 5714 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 9251, 5714 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9251, 5714 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 9251, 5714 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 9251, 5714 is 1.

HCF(9251, 5714) = 1

HCF of 9251, 5714 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 9251, 5714 is 1.

Highest Common Factor of 9251,5714 using Euclid's algorithm

Highest Common Factor of 9251,5714 is 1

Step 1: Since 9251 > 5714, we apply the division lemma to 9251 and 5714, to get

9251 = 5714 x 1 + 3537

Step 2: Since the reminder 5714 ≠ 0, we apply division lemma to 3537 and 5714, to get

5714 = 3537 x 1 + 2177

Step 3: We consider the new divisor 3537 and the new remainder 2177, and apply the division lemma to get

3537 = 2177 x 1 + 1360

We consider the new divisor 2177 and the new remainder 1360,and apply the division lemma to get

2177 = 1360 x 1 + 817

We consider the new divisor 1360 and the new remainder 817,and apply the division lemma to get

1360 = 817 x 1 + 543

We consider the new divisor 817 and the new remainder 543,and apply the division lemma to get

817 = 543 x 1 + 274

We consider the new divisor 543 and the new remainder 274,and apply the division lemma to get

543 = 274 x 1 + 269

We consider the new divisor 274 and the new remainder 269,and apply the division lemma to get

274 = 269 x 1 + 5

We consider the new divisor 269 and the new remainder 5,and apply the division lemma to get

269 = 5 x 53 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9251 and 5714 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(269,5) = HCF(274,269) = HCF(543,274) = HCF(817,543) = HCF(1360,817) = HCF(2177,1360) = HCF(3537,2177) = HCF(5714,3537) = HCF(9251,5714) .

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Frequently Asked Questions on HCF of 9251, 5714 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 9251, 5714?

Answer: HCF of 9251, 5714 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9251, 5714 using Euclid's Algorithm?

Answer: For arbitrary numbers 9251, 5714 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.