Highest Common Factor of 640, 811 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 640, 811 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 640, 811 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 640, 811 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 640, 811 is 1.

HCF(640, 811) = 1

HCF of 640, 811 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 640, 811 is 1.

Highest Common Factor of 640,811 using Euclid's algorithm

Highest Common Factor of 640,811 is 1

Step 1: Since 811 > 640, we apply the division lemma to 811 and 640, to get

811 = 640 x 1 + 171

Step 2: Since the reminder 640 ≠ 0, we apply division lemma to 171 and 640, to get

640 = 171 x 3 + 127

Step 3: We consider the new divisor 171 and the new remainder 127, and apply the division lemma to get

171 = 127 x 1 + 44

We consider the new divisor 127 and the new remainder 44,and apply the division lemma to get

127 = 44 x 2 + 39

We consider the new divisor 44 and the new remainder 39,and apply the division lemma to get

44 = 39 x 1 + 5

We consider the new divisor 39 and the new remainder 5,and apply the division lemma to get

39 = 5 x 7 + 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 640 and 811 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(39,5) = HCF(44,39) = HCF(127,44) = HCF(171,127) = HCF(640,171) = HCF(811,640) .

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Frequently Asked Questions on HCF of 640, 811 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 640, 811?

Answer: HCF of 640, 811 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 640, 811 using Euclid's Algorithm?

Answer: For arbitrary numbers 640, 811 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.