Highest Common Factor of 3747, 9725 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 3747, 9725 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3747, 9725 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 3747, 9725 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 3747, 9725 is 1.

HCF(3747, 9725) = 1

HCF of 3747, 9725 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 3747, 9725 is 1.

Highest Common Factor of 3747,9725 using Euclid's algorithm

Highest Common Factor of 3747,9725 is 1

Step 1: Since 9725 > 3747, we apply the division lemma to 9725 and 3747, to get

9725 = 3747 x 2 + 2231

Step 2: Since the reminder 3747 ≠ 0, we apply division lemma to 2231 and 3747, to get

3747 = 2231 x 1 + 1516

Step 3: We consider the new divisor 2231 and the new remainder 1516, and apply the division lemma to get

2231 = 1516 x 1 + 715

We consider the new divisor 1516 and the new remainder 715,and apply the division lemma to get

1516 = 715 x 2 + 86

We consider the new divisor 715 and the new remainder 86,and apply the division lemma to get

715 = 86 x 8 + 27

We consider the new divisor 86 and the new remainder 27,and apply the division lemma to get

86 = 27 x 3 + 5

We consider the new divisor 27 and the new remainder 5,and apply the division lemma to get

27 = 5 x 5 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 3747 and 9725 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(27,5) = HCF(86,27) = HCF(715,86) = HCF(1516,715) = HCF(2231,1516) = HCF(3747,2231) = HCF(9725,3747) .

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Frequently Asked Questions on HCF of 3747, 9725 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 3747, 9725?

Answer: HCF of 3747, 9725 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3747, 9725 using Euclid's Algorithm?

Answer: For arbitrary numbers 3747, 9725 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.