Highest Common Factor of 6653, 8641 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 6653, 8641 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6653, 8641 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 6653, 8641 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 6653, 8641 is 1.

HCF(6653, 8641) = 1

HCF of 6653, 8641 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 6653, 8641 is 1.

Highest Common Factor of 6653,8641 using Euclid's algorithm

Highest Common Factor of 6653,8641 is 1

Step 1: Since 8641 > 6653, we apply the division lemma to 8641 and 6653, to get

8641 = 6653 x 1 + 1988

Step 2: Since the reminder 6653 ≠ 0, we apply division lemma to 1988 and 6653, to get

6653 = 1988 x 3 + 689

Step 3: We consider the new divisor 1988 and the new remainder 689, and apply the division lemma to get

1988 = 689 x 2 + 610

We consider the new divisor 689 and the new remainder 610,and apply the division lemma to get

689 = 610 x 1 + 79

We consider the new divisor 610 and the new remainder 79,and apply the division lemma to get

610 = 79 x 7 + 57

We consider the new divisor 79 and the new remainder 57,and apply the division lemma to get

79 = 57 x 1 + 22

We consider the new divisor 57 and the new remainder 22,and apply the division lemma to get

57 = 22 x 2 + 13

We consider the new divisor 22 and the new remainder 13,and apply the division lemma to get

22 = 13 x 1 + 9

We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get

13 = 9 x 1 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 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 6653 and 8641 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(22,13) = HCF(57,22) = HCF(79,57) = HCF(610,79) = HCF(689,610) = HCF(1988,689) = HCF(6653,1988) = HCF(8641,6653) .

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Frequently Asked Questions on HCF of 6653, 8641 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 6653, 8641?

Answer: HCF of 6653, 8641 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6653, 8641 using Euclid's Algorithm?

Answer: For arbitrary numbers 6653, 8641 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.