Highest Common Factor of 8132, 5661 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 8132, 5661 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8132, 5661 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 8132, 5661 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 8132, 5661 is 1.

HCF(8132, 5661) = 1

HCF of 8132, 5661 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 8132, 5661 is 1.

Highest Common Factor of 8132,5661 using Euclid's algorithm

Highest Common Factor of 8132,5661 is 1

Step 1: Since 8132 > 5661, we apply the division lemma to 8132 and 5661, to get

8132 = 5661 x 1 + 2471

Step 2: Since the reminder 5661 ≠ 0, we apply division lemma to 2471 and 5661, to get

5661 = 2471 x 2 + 719

Step 3: We consider the new divisor 2471 and the new remainder 719, and apply the division lemma to get

2471 = 719 x 3 + 314

We consider the new divisor 719 and the new remainder 314,and apply the division lemma to get

719 = 314 x 2 + 91

We consider the new divisor 314 and the new remainder 91,and apply the division lemma to get

314 = 91 x 3 + 41

We consider the new divisor 91 and the new remainder 41,and apply the division lemma to get

91 = 41 x 2 + 9

We consider the new divisor 41 and the new remainder 9,and apply the division lemma to get

41 = 9 x 4 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8132 and 5661 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(41,9) = HCF(91,41) = HCF(314,91) = HCF(719,314) = HCF(2471,719) = HCF(5661,2471) = HCF(8132,5661) .

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Frequently Asked Questions on HCF of 8132, 5661 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 8132, 5661?

Answer: HCF of 8132, 5661 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8132, 5661 using Euclid's Algorithm?

Answer: For arbitrary numbers 8132, 5661 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.