Highest Common Factor of 3708, 7885, 81262 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 3708, 7885, 81262 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3708, 7885, 81262 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 3708, 7885, 81262 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 3708, 7885, 81262 is 1.

HCF(3708, 7885, 81262) = 1

HCF of 3708, 7885, 81262 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 3708, 7885, 81262 is 1.

Highest Common Factor of 3708,7885,81262 using Euclid's algorithm

Highest Common Factor of 3708,7885,81262 is 1

Step 1: Since 7885 > 3708, we apply the division lemma to 7885 and 3708, to get

7885 = 3708 x 2 + 469

Step 2: Since the reminder 3708 ≠ 0, we apply division lemma to 469 and 3708, to get

3708 = 469 x 7 + 425

Step 3: We consider the new divisor 469 and the new remainder 425, and apply the division lemma to get

469 = 425 x 1 + 44

We consider the new divisor 425 and the new remainder 44,and apply the division lemma to get

425 = 44 x 9 + 29

We consider the new divisor 44 and the new remainder 29,and apply the division lemma to get

44 = 29 x 1 + 15

We consider the new divisor 29 and the new remainder 15,and apply the division lemma to get

29 = 15 x 1 + 14

We consider the new divisor 15 and the new remainder 14,and apply the division lemma to get

15 = 14 x 1 + 1

We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get

14 = 1 x 14 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3708 and 7885 is 1

Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(29,15) = HCF(44,29) = HCF(425,44) = HCF(469,425) = HCF(3708,469) = HCF(7885,3708) .

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

Step 1: Since 81262 > 1, we apply the division lemma to 81262 and 1, to get

81262 = 1 x 81262 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 81262 is 1

Notice that 1 = HCF(81262,1) .

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Frequently Asked Questions on HCF of 3708, 7885, 81262 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 3708, 7885, 81262?

Answer: HCF of 3708, 7885, 81262 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3708, 7885, 81262 using Euclid's Algorithm?

Answer: For arbitrary numbers 3708, 7885, 81262 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.