Highest Common Factor of 5144, 9471 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 5144, 9471 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5144, 9471 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 5144, 9471 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 5144, 9471 is 1.

HCF(5144, 9471) = 1

HCF of 5144, 9471 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 5144, 9471 is 1.

Highest Common Factor of 5144,9471 using Euclid's algorithm

Highest Common Factor of 5144,9471 is 1

Step 1: Since 9471 > 5144, we apply the division lemma to 9471 and 5144, to get

9471 = 5144 x 1 + 4327

Step 2: Since the reminder 5144 ≠ 0, we apply division lemma to 4327 and 5144, to get

5144 = 4327 x 1 + 817

Step 3: We consider the new divisor 4327 and the new remainder 817, and apply the division lemma to get

4327 = 817 x 5 + 242

We consider the new divisor 817 and the new remainder 242,and apply the division lemma to get

817 = 242 x 3 + 91

We consider the new divisor 242 and the new remainder 91,and apply the division lemma to get

242 = 91 x 2 + 60

We consider the new divisor 91 and the new remainder 60,and apply the division lemma to get

91 = 60 x 1 + 31

We consider the new divisor 60 and the new remainder 31,and apply the division lemma to get

60 = 31 x 1 + 29

We consider the new divisor 31 and the new remainder 29,and apply the division lemma to get

31 = 29 x 1 + 2

We consider the new divisor 29 and the new remainder 2,and apply the division lemma to get

29 = 2 x 14 + 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 5144 and 9471 is 1

Notice that 1 = HCF(2,1) = HCF(29,2) = HCF(31,29) = HCF(60,31) = HCF(91,60) = HCF(242,91) = HCF(817,242) = HCF(4327,817) = HCF(5144,4327) = HCF(9471,5144) .

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Frequently Asked Questions on HCF of 5144, 9471 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 5144, 9471?

Answer: HCF of 5144, 9471 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5144, 9471 using Euclid's Algorithm?

Answer: For arbitrary numbers 5144, 9471 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.