Highest Common Factor of 5744, 7277 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 5744, 7277 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5744, 7277 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 5744, 7277 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 5744, 7277 is 1.

HCF(5744, 7277) = 1

HCF of 5744, 7277 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 5744, 7277 is 1.

Highest Common Factor of 5744,7277 using Euclid's algorithm

Highest Common Factor of 5744,7277 is 1

Step 1: Since 7277 > 5744, we apply the division lemma to 7277 and 5744, to get

7277 = 5744 x 1 + 1533

Step 2: Since the reminder 5744 ≠ 0, we apply division lemma to 1533 and 5744, to get

5744 = 1533 x 3 + 1145

Step 3: We consider the new divisor 1533 and the new remainder 1145, and apply the division lemma to get

1533 = 1145 x 1 + 388

We consider the new divisor 1145 and the new remainder 388,and apply the division lemma to get

1145 = 388 x 2 + 369

We consider the new divisor 388 and the new remainder 369,and apply the division lemma to get

388 = 369 x 1 + 19

We consider the new divisor 369 and the new remainder 19,and apply the division lemma to get

369 = 19 x 19 + 8

We consider the new divisor 19 and the new remainder 8,and apply the division lemma to get

19 = 8 x 2 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 5744 and 7277 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(19,8) = HCF(369,19) = HCF(388,369) = HCF(1145,388) = HCF(1533,1145) = HCF(5744,1533) = HCF(7277,5744) .

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Frequently Asked Questions on HCF of 5744, 7277 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 5744, 7277?

Answer: HCF of 5744, 7277 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5744, 7277 using Euclid's Algorithm?

Answer: For arbitrary numbers 5744, 7277 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.