Highest Common Factor of 5101, 5623, 22940 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 5101, 5623, 22940 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5101, 5623, 22940 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 5101, 5623, 22940 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 5101, 5623, 22940 is 1.

HCF(5101, 5623, 22940) = 1

HCF of 5101, 5623, 22940 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 5101, 5623, 22940 is 1.

Highest Common Factor of 5101,5623,22940 using Euclid's algorithm

Highest Common Factor of 5101,5623,22940 is 1

Step 1: Since 5623 > 5101, we apply the division lemma to 5623 and 5101, to get

5623 = 5101 x 1 + 522

Step 2: Since the reminder 5101 ≠ 0, we apply division lemma to 522 and 5101, to get

5101 = 522 x 9 + 403

Step 3: We consider the new divisor 522 and the new remainder 403, and apply the division lemma to get

522 = 403 x 1 + 119

We consider the new divisor 403 and the new remainder 119,and apply the division lemma to get

403 = 119 x 3 + 46

We consider the new divisor 119 and the new remainder 46,and apply the division lemma to get

119 = 46 x 2 + 27

We consider the new divisor 46 and the new remainder 27,and apply the division lemma to get

46 = 27 x 1 + 19

We consider the new divisor 27 and the new remainder 19,and apply the division lemma to get

27 = 19 x 1 + 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 5101 and 5623 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(19,8) = HCF(27,19) = HCF(46,27) = HCF(119,46) = HCF(403,119) = HCF(522,403) = HCF(5101,522) = HCF(5623,5101) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 22940 > 1, we apply the division lemma to 22940 and 1, to get

22940 = 1 x 22940 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 22940 is 1

Notice that 1 = HCF(22940,1) .

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Frequently Asked Questions on HCF of 5101, 5623, 22940 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 5101, 5623, 22940?

Answer: HCF of 5101, 5623, 22940 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5101, 5623, 22940 using Euclid's Algorithm?

Answer: For arbitrary numbers 5101, 5623, 22940 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.