Highest Common Factor of 5640, 3157, 17911 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 5640, 3157, 17911 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5640, 3157, 17911 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 5640, 3157, 17911 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 5640, 3157, 17911 is 1.

HCF(5640, 3157, 17911) = 1

HCF of 5640, 3157, 17911 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 5640, 3157, 17911 is 1.

Highest Common Factor of 5640,3157,17911 using Euclid's algorithm

Highest Common Factor of 5640,3157,17911 is 1

Step 1: Since 5640 > 3157, we apply the division lemma to 5640 and 3157, to get

5640 = 3157 x 1 + 2483

Step 2: Since the reminder 3157 ≠ 0, we apply division lemma to 2483 and 3157, to get

3157 = 2483 x 1 + 674

Step 3: We consider the new divisor 2483 and the new remainder 674, and apply the division lemma to get

2483 = 674 x 3 + 461

We consider the new divisor 674 and the new remainder 461,and apply the division lemma to get

674 = 461 x 1 + 213

We consider the new divisor 461 and the new remainder 213,and apply the division lemma to get

461 = 213 x 2 + 35

We consider the new divisor 213 and the new remainder 35,and apply the division lemma to get

213 = 35 x 6 + 3

We consider the new divisor 35 and the new remainder 3,and apply the division lemma to get

35 = 3 x 11 + 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 5640 and 3157 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(35,3) = HCF(213,35) = HCF(461,213) = HCF(674,461) = HCF(2483,674) = HCF(3157,2483) = HCF(5640,3157) .

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

Step 1: Since 17911 > 1, we apply the division lemma to 17911 and 1, to get

17911 = 1 x 17911 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 17911 is 1

Notice that 1 = HCF(17911,1) .

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Frequently Asked Questions on HCF of 5640, 3157, 17911 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 5640, 3157, 17911?

Answer: HCF of 5640, 3157, 17911 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5640, 3157, 17911 using Euclid's Algorithm?

Answer: For arbitrary numbers 5640, 3157, 17911 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.