Highest Common Factor of 791, 3725 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 791, 3725 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 791, 3725 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 791, 3725 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 791, 3725 is 1.

HCF(791, 3725) = 1

HCF of 791, 3725 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 791, 3725 is 1.

Highest Common Factor of 791,3725 using Euclid's algorithm

Highest Common Factor of 791,3725 is 1

Step 1: Since 3725 > 791, we apply the division lemma to 3725 and 791, to get

3725 = 791 x 4 + 561

Step 2: Since the reminder 791 ≠ 0, we apply division lemma to 561 and 791, to get

791 = 561 x 1 + 230

Step 3: We consider the new divisor 561 and the new remainder 230, and apply the division lemma to get

561 = 230 x 2 + 101

We consider the new divisor 230 and the new remainder 101,and apply the division lemma to get

230 = 101 x 2 + 28

We consider the new divisor 101 and the new remainder 28,and apply the division lemma to get

101 = 28 x 3 + 17

We consider the new divisor 28 and the new remainder 17,and apply the division lemma to get

28 = 17 x 1 + 11

We consider the new divisor 17 and the new remainder 11,and apply the division lemma to get

17 = 11 x 1 + 6

We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get

11 = 6 x 1 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 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 791 and 3725 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(17,11) = HCF(28,17) = HCF(101,28) = HCF(230,101) = HCF(561,230) = HCF(791,561) = HCF(3725,791) .

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Frequently Asked Questions on HCF of 791, 3725 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 791, 3725?

Answer: HCF of 791, 3725 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 791, 3725 using Euclid's Algorithm?

Answer: For arbitrary numbers 791, 3725 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.