Highest Common Factor of 6101, 9645, 40317 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 6101, 9645, 40317 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6101, 9645, 40317 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 6101, 9645, 40317 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 6101, 9645, 40317 is 1.

HCF(6101, 9645, 40317) = 1

HCF of 6101, 9645, 40317 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 6101, 9645, 40317 is 1.

Highest Common Factor of 6101,9645,40317 using Euclid's algorithm

Highest Common Factor of 6101,9645,40317 is 1

Step 1: Since 9645 > 6101, we apply the division lemma to 9645 and 6101, to get

9645 = 6101 x 1 + 3544

Step 2: Since the reminder 6101 ≠ 0, we apply division lemma to 3544 and 6101, to get

6101 = 3544 x 1 + 2557

Step 3: We consider the new divisor 3544 and the new remainder 2557, and apply the division lemma to get

3544 = 2557 x 1 + 987

We consider the new divisor 2557 and the new remainder 987,and apply the division lemma to get

2557 = 987 x 2 + 583

We consider the new divisor 987 and the new remainder 583,and apply the division lemma to get

987 = 583 x 1 + 404

We consider the new divisor 583 and the new remainder 404,and apply the division lemma to get

583 = 404 x 1 + 179

We consider the new divisor 404 and the new remainder 179,and apply the division lemma to get

404 = 179 x 2 + 46

We consider the new divisor 179 and the new remainder 46,and apply the division lemma to get

179 = 46 x 3 + 41

We consider the new divisor 46 and the new remainder 41,and apply the division lemma to get

46 = 41 x 1 + 5

We consider the new divisor 41 and the new remainder 5,and apply the division lemma to get

41 = 5 x 8 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6101 and 9645 is 1

Notice that 1 = HCF(5,1) = HCF(41,5) = HCF(46,41) = HCF(179,46) = HCF(404,179) = HCF(583,404) = HCF(987,583) = HCF(2557,987) = HCF(3544,2557) = HCF(6101,3544) = HCF(9645,6101) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 40317 > 1, we apply the division lemma to 40317 and 1, to get

40317 = 1 x 40317 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 40317 is 1

Notice that 1 = HCF(40317,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 6101, 9645, 40317 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 6101, 9645, 40317?

Answer: HCF of 6101, 9645, 40317 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6101, 9645, 40317 using Euclid's Algorithm?

Answer: For arbitrary numbers 6101, 9645, 40317 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.