Highest Common Factor of 724, 5183 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 724, 5183 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 724, 5183 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 724, 5183 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 724, 5183 is 1.

HCF(724, 5183) = 1

HCF of 724, 5183 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 724, 5183 is 1.

Highest Common Factor of 724,5183 using Euclid's algorithm

Highest Common Factor of 724,5183 is 1

Step 1: Since 5183 > 724, we apply the division lemma to 5183 and 724, to get

5183 = 724 x 7 + 115

Step 2: Since the reminder 724 ≠ 0, we apply division lemma to 115 and 724, to get

724 = 115 x 6 + 34

Step 3: We consider the new divisor 115 and the new remainder 34, and apply the division lemma to get

115 = 34 x 3 + 13

We consider the new divisor 34 and the new remainder 13,and apply the division lemma to get

34 = 13 x 2 + 8

We consider the new divisor 13 and the new remainder 8,and apply the division lemma to get

13 = 8 x 1 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 724 and 5183 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(13,8) = HCF(34,13) = HCF(115,34) = HCF(724,115) = HCF(5183,724) .

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Frequently Asked Questions on HCF of 724, 5183 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 724, 5183?

Answer: HCF of 724, 5183 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 724, 5183 using Euclid's Algorithm?

Answer: For arbitrary numbers 724, 5183 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.