Highest Common Factor of 8645, 3921 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 8645, 3921 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8645, 3921 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 8645, 3921 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 8645, 3921 is 1.

HCF(8645, 3921) = 1

HCF of 8645, 3921 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 8645, 3921 is 1.

Highest Common Factor of 8645,3921 using Euclid's algorithm

Highest Common Factor of 8645,3921 is 1

Step 1: Since 8645 > 3921, we apply the division lemma to 8645 and 3921, to get

8645 = 3921 x 2 + 803

Step 2: Since the reminder 3921 ≠ 0, we apply division lemma to 803 and 3921, to get

3921 = 803 x 4 + 709

Step 3: We consider the new divisor 803 and the new remainder 709, and apply the division lemma to get

803 = 709 x 1 + 94

We consider the new divisor 709 and the new remainder 94,and apply the division lemma to get

709 = 94 x 7 + 51

We consider the new divisor 94 and the new remainder 51,and apply the division lemma to get

94 = 51 x 1 + 43

We consider the new divisor 51 and the new remainder 43,and apply the division lemma to get

51 = 43 x 1 + 8

We consider the new divisor 43 and the new remainder 8,and apply the division lemma to get

43 = 8 x 5 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

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 8645 and 3921 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(43,8) = HCF(51,43) = HCF(94,51) = HCF(709,94) = HCF(803,709) = HCF(3921,803) = HCF(8645,3921) .

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Frequently Asked Questions on HCF of 8645, 3921 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 8645, 3921?

Answer: HCF of 8645, 3921 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8645, 3921 using Euclid's Algorithm?

Answer: For arbitrary numbers 8645, 3921 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.