Highest Common Factor of 3640, 5937 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 3640, 5937 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3640, 5937 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 3640, 5937 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 3640, 5937 is 1.

HCF(3640, 5937) = 1

HCF of 3640, 5937 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 3640, 5937 is 1.

Highest Common Factor of 3640,5937 using Euclid's algorithm

Highest Common Factor of 3640,5937 is 1

Step 1: Since 5937 > 3640, we apply the division lemma to 5937 and 3640, to get

5937 = 3640 x 1 + 2297

Step 2: Since the reminder 3640 ≠ 0, we apply division lemma to 2297 and 3640, to get

3640 = 2297 x 1 + 1343

Step 3: We consider the new divisor 2297 and the new remainder 1343, and apply the division lemma to get

2297 = 1343 x 1 + 954

We consider the new divisor 1343 and the new remainder 954,and apply the division lemma to get

1343 = 954 x 1 + 389

We consider the new divisor 954 and the new remainder 389,and apply the division lemma to get

954 = 389 x 2 + 176

We consider the new divisor 389 and the new remainder 176,and apply the division lemma to get

389 = 176 x 2 + 37

We consider the new divisor 176 and the new remainder 37,and apply the division lemma to get

176 = 37 x 4 + 28

We consider the new divisor 37 and the new remainder 28,and apply the division lemma to get

37 = 28 x 1 + 9

We consider the new divisor 28 and the new remainder 9,and apply the division lemma to get

28 = 9 x 3 + 1

We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3640 and 5937 is 1

Notice that 1 = HCF(9,1) = HCF(28,9) = HCF(37,28) = HCF(176,37) = HCF(389,176) = HCF(954,389) = HCF(1343,954) = HCF(2297,1343) = HCF(3640,2297) = HCF(5937,3640) .

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Frequently Asked Questions on HCF of 3640, 5937 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 3640, 5937?

Answer: HCF of 3640, 5937 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3640, 5937 using Euclid's Algorithm?

Answer: For arbitrary numbers 3640, 5937 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.