Highest Common Factor of 645, 9391 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 645, 9391 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 645, 9391 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 645, 9391 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 645, 9391 is 1.

HCF(645, 9391) = 1

HCF of 645, 9391 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 645, 9391 is 1.

Highest Common Factor of 645,9391 using Euclid's algorithm

Highest Common Factor of 645,9391 is 1

Step 1: Since 9391 > 645, we apply the division lemma to 9391 and 645, to get

9391 = 645 x 14 + 361

Step 2: Since the reminder 645 ≠ 0, we apply division lemma to 361 and 645, to get

645 = 361 x 1 + 284

Step 3: We consider the new divisor 361 and the new remainder 284, and apply the division lemma to get

361 = 284 x 1 + 77

We consider the new divisor 284 and the new remainder 77,and apply the division lemma to get

284 = 77 x 3 + 53

We consider the new divisor 77 and the new remainder 53,and apply the division lemma to get

77 = 53 x 1 + 24

We consider the new divisor 53 and the new remainder 24,and apply the division lemma to get

53 = 24 x 2 + 5

We consider the new divisor 24 and the new remainder 5,and apply the division lemma to get

24 = 5 x 4 + 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 645 and 9391 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(24,5) = HCF(53,24) = HCF(77,53) = HCF(284,77) = HCF(361,284) = HCF(645,361) = HCF(9391,645) .

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Frequently Asked Questions on HCF of 645, 9391 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 645, 9391?

Answer: HCF of 645, 9391 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 645, 9391 using Euclid's Algorithm?

Answer: For arbitrary numbers 645, 9391 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.