Highest Common Factor of 6453, 2586, 71543 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 6453, 2586, 71543 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6453, 2586, 71543 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 6453, 2586, 71543 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 6453, 2586, 71543 is 1.

HCF(6453, 2586, 71543) = 1

HCF of 6453, 2586, 71543 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 6453, 2586, 71543 is 1.

Highest Common Factor of 6453,2586,71543 using Euclid's algorithm

Highest Common Factor of 6453,2586,71543 is 1

Step 1: Since 6453 > 2586, we apply the division lemma to 6453 and 2586, to get

6453 = 2586 x 2 + 1281

Step 2: Since the reminder 2586 ≠ 0, we apply division lemma to 1281 and 2586, to get

2586 = 1281 x 2 + 24

Step 3: We consider the new divisor 1281 and the new remainder 24, and apply the division lemma to get

1281 = 24 x 53 + 9

We consider the new divisor 24 and the new remainder 9,and apply the division lemma to get

24 = 9 x 2 + 6

We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get

9 = 6 x 1 + 3

We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get

6 = 3 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 6453 and 2586 is 3

Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(24,9) = HCF(1281,24) = HCF(2586,1281) = HCF(6453,2586) .

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

Step 1: Since 71543 > 3, we apply the division lemma to 71543 and 3, to get

71543 = 3 x 23847 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 1

Step 3: 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 3 and 71543 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(71543,3) .

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Frequently Asked Questions on HCF of 6453, 2586, 71543 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 6453, 2586, 71543?

Answer: HCF of 6453, 2586, 71543 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6453, 2586, 71543 using Euclid's Algorithm?

Answer: For arbitrary numbers 6453, 2586, 71543 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.