Highest Common Factor of 5316, 4595 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 5316, 4595 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5316, 4595 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 5316, 4595 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 5316, 4595 is 1.

HCF(5316, 4595) = 1

HCF of 5316, 4595 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 5316, 4595 is 1.

Highest Common Factor of 5316,4595 using Euclid's algorithm

Highest Common Factor of 5316,4595 is 1

Step 1: Since 5316 > 4595, we apply the division lemma to 5316 and 4595, to get

5316 = 4595 x 1 + 721

Step 2: Since the reminder 4595 ≠ 0, we apply division lemma to 721 and 4595, to get

4595 = 721 x 6 + 269

Step 3: We consider the new divisor 721 and the new remainder 269, and apply the division lemma to get

721 = 269 x 2 + 183

We consider the new divisor 269 and the new remainder 183,and apply the division lemma to get

269 = 183 x 1 + 86

We consider the new divisor 183 and the new remainder 86,and apply the division lemma to get

183 = 86 x 2 + 11

We consider the new divisor 86 and the new remainder 11,and apply the division lemma to get

86 = 11 x 7 + 9

We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get

11 = 9 x 1 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 5316 and 4595 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(86,11) = HCF(183,86) = HCF(269,183) = HCF(721,269) = HCF(4595,721) = HCF(5316,4595) .

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Frequently Asked Questions on HCF of 5316, 4595 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 5316, 4595?

Answer: HCF of 5316, 4595 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5316, 4595 using Euclid's Algorithm?

Answer: For arbitrary numbers 5316, 4595 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.