Highest Common Factor of 5617, 2892 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 5617, 2892 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5617, 2892 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 5617, 2892 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 5617, 2892 is 1.

HCF(5617, 2892) = 1

HCF of 5617, 2892 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 5617, 2892 is 1.

Highest Common Factor of 5617,2892 using Euclid's algorithm

Highest Common Factor of 5617,2892 is 1

Step 1: Since 5617 > 2892, we apply the division lemma to 5617 and 2892, to get

5617 = 2892 x 1 + 2725

Step 2: Since the reminder 2892 ≠ 0, we apply division lemma to 2725 and 2892, to get

2892 = 2725 x 1 + 167

Step 3: We consider the new divisor 2725 and the new remainder 167, and apply the division lemma to get

2725 = 167 x 16 + 53

We consider the new divisor 167 and the new remainder 53,and apply the division lemma to get

167 = 53 x 3 + 8

We consider the new divisor 53 and the new remainder 8,and apply the division lemma to get

53 = 8 x 6 + 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 5617 and 2892 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(53,8) = HCF(167,53) = HCF(2725,167) = HCF(2892,2725) = HCF(5617,2892) .

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Frequently Asked Questions on HCF of 5617, 2892 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 5617, 2892?

Answer: HCF of 5617, 2892 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5617, 2892 using Euclid's Algorithm?

Answer: For arbitrary numbers 5617, 2892 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.