Highest Common Factor of 5631, 5074, 26363 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 5631, 5074, 26363 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5631, 5074, 26363 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 5631, 5074, 26363 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 5631, 5074, 26363 is 1.

HCF(5631, 5074, 26363) = 1

HCF of 5631, 5074, 26363 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 5631, 5074, 26363 is 1.

Highest Common Factor of 5631,5074,26363 using Euclid's algorithm

Highest Common Factor of 5631,5074,26363 is 1

Step 1: Since 5631 > 5074, we apply the division lemma to 5631 and 5074, to get

5631 = 5074 x 1 + 557

Step 2: Since the reminder 5074 ≠ 0, we apply division lemma to 557 and 5074, to get

5074 = 557 x 9 + 61

Step 3: We consider the new divisor 557 and the new remainder 61, and apply the division lemma to get

557 = 61 x 9 + 8

We consider the new divisor 61 and the new remainder 8,and apply the division lemma to get

61 = 8 x 7 + 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 5631 and 5074 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(61,8) = HCF(557,61) = HCF(5074,557) = HCF(5631,5074) .

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

Step 1: Since 26363 > 1, we apply the division lemma to 26363 and 1, to get

26363 = 1 x 26363 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 26363 is 1

Notice that 1 = HCF(26363,1) .

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Frequently Asked Questions on HCF of 5631, 5074, 26363 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 5631, 5074, 26363?

Answer: HCF of 5631, 5074, 26363 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5631, 5074, 26363 using Euclid's Algorithm?

Answer: For arbitrary numbers 5631, 5074, 26363 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.