Highest Common Factor of 6281, 7411 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 6281, 7411 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6281, 7411 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 6281, 7411 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 6281, 7411 is 1.

HCF(6281, 7411) = 1

HCF of 6281, 7411 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 6281, 7411 is 1.

Highest Common Factor of 6281,7411 using Euclid's algorithm

Highest Common Factor of 6281,7411 is 1

Step 1: Since 7411 > 6281, we apply the division lemma to 7411 and 6281, to get

7411 = 6281 x 1 + 1130

Step 2: Since the reminder 6281 ≠ 0, we apply division lemma to 1130 and 6281, to get

6281 = 1130 x 5 + 631

Step 3: We consider the new divisor 1130 and the new remainder 631, and apply the division lemma to get

1130 = 631 x 1 + 499

We consider the new divisor 631 and the new remainder 499,and apply the division lemma to get

631 = 499 x 1 + 132

We consider the new divisor 499 and the new remainder 132,and apply the division lemma to get

499 = 132 x 3 + 103

We consider the new divisor 132 and the new remainder 103,and apply the division lemma to get

132 = 103 x 1 + 29

We consider the new divisor 103 and the new remainder 29,and apply the division lemma to get

103 = 29 x 3 + 16

We consider the new divisor 29 and the new remainder 16,and apply the division lemma to get

29 = 16 x 1 + 13

We consider the new divisor 16 and the new remainder 13,and apply the division lemma to get

16 = 13 x 1 + 3

We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get

13 = 3 x 4 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6281 and 7411 is 1

Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(16,13) = HCF(29,16) = HCF(103,29) = HCF(132,103) = HCF(499,132) = HCF(631,499) = HCF(1130,631) = HCF(6281,1130) = HCF(7411,6281) .

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Frequently Asked Questions on HCF of 6281, 7411 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 6281, 7411?

Answer: HCF of 6281, 7411 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6281, 7411 using Euclid's Algorithm?

Answer: For arbitrary numbers 6281, 7411 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.