Highest Common Factor of 3731, 7366 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 3731, 7366 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3731, 7366 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 3731, 7366 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 3731, 7366 is 1.

HCF(3731, 7366) = 1

HCF of 3731, 7366 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 3731, 7366 is 1.

Highest Common Factor of 3731,7366 using Euclid's algorithm

Highest Common Factor of 3731,7366 is 1

Step 1: Since 7366 > 3731, we apply the division lemma to 7366 and 3731, to get

7366 = 3731 x 1 + 3635

Step 2: Since the reminder 3731 ≠ 0, we apply division lemma to 3635 and 3731, to get

3731 = 3635 x 1 + 96

Step 3: We consider the new divisor 3635 and the new remainder 96, and apply the division lemma to get

3635 = 96 x 37 + 83

We consider the new divisor 96 and the new remainder 83,and apply the division lemma to get

96 = 83 x 1 + 13

We consider the new divisor 83 and the new remainder 13,and apply the division lemma to get

83 = 13 x 6 + 5

We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get

13 = 5 x 2 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 3731 and 7366 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(83,13) = HCF(96,83) = HCF(3635,96) = HCF(3731,3635) = HCF(7366,3731) .

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Frequently Asked Questions on HCF of 3731, 7366 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 3731, 7366?

Answer: HCF of 3731, 7366 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3731, 7366 using Euclid's Algorithm?

Answer: For arbitrary numbers 3731, 7366 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.