Highest Common Factor of 791, 3096, 3908 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, 3096, 3908 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 791, 3096, 3908 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, 3096, 3908 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, 3096, 3908 is 1.

HCF(791, 3096, 3908) = 1

HCF of 791, 3096, 3908 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, 3096, 3908 is 1.

Highest Common Factor of 791,3096,3908 using Euclid's algorithm

Highest Common Factor of 791,3096,3908 is 1

Step 1: Since 3096 > 791, we apply the division lemma to 3096 and 791, to get

3096 = 791 x 3 + 723

Step 2: Since the reminder 791 ≠ 0, we apply division lemma to 723 and 791, to get

791 = 723 x 1 + 68

Step 3: We consider the new divisor 723 and the new remainder 68, and apply the division lemma to get

723 = 68 x 10 + 43

We consider the new divisor 68 and the new remainder 43,and apply the division lemma to get

68 = 43 x 1 + 25

We consider the new divisor 43 and the new remainder 25,and apply the division lemma to get

43 = 25 x 1 + 18

We consider the new divisor 25 and the new remainder 18,and apply the division lemma to get

25 = 18 x 1 + 7

We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get

18 = 7 x 2 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 791 and 3096 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(25,18) = HCF(43,25) = HCF(68,43) = HCF(723,68) = HCF(791,723) = HCF(3096,791) .

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

Step 1: Since 3908 > 1, we apply the division lemma to 3908 and 1, to get

3908 = 1 x 3908 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 3908 is 1

Notice that 1 = HCF(3908,1) .

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Frequently Asked Questions on HCF of 791, 3096, 3908 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, 3096, 3908?

Answer: HCF of 791, 3096, 3908 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 791, 3096, 3908 using Euclid's Algorithm?

Answer: For arbitrary numbers 791, 3096, 3908 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.