Highest Common Factor of 6296, 7379 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 6296, 7379 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6296, 7379 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 6296, 7379 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 6296, 7379 is 1.

HCF(6296, 7379) = 1

HCF of 6296, 7379 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 6296, 7379 is 1.

Highest Common Factor of 6296,7379 using Euclid's algorithm

Highest Common Factor of 6296,7379 is 1

Step 1: Since 7379 > 6296, we apply the division lemma to 7379 and 6296, to get

7379 = 6296 x 1 + 1083

Step 2: Since the reminder 6296 ≠ 0, we apply division lemma to 1083 and 6296, to get

6296 = 1083 x 5 + 881

Step 3: We consider the new divisor 1083 and the new remainder 881, and apply the division lemma to get

1083 = 881 x 1 + 202

We consider the new divisor 881 and the new remainder 202,and apply the division lemma to get

881 = 202 x 4 + 73

We consider the new divisor 202 and the new remainder 73,and apply the division lemma to get

202 = 73 x 2 + 56

We consider the new divisor 73 and the new remainder 56,and apply the division lemma to get

73 = 56 x 1 + 17

We consider the new divisor 56 and the new remainder 17,and apply the division lemma to get

56 = 17 x 3 + 5

We consider the new divisor 17 and the new remainder 5,and apply the division lemma to get

17 = 5 x 3 + 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 6296 and 7379 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(17,5) = HCF(56,17) = HCF(73,56) = HCF(202,73) = HCF(881,202) = HCF(1083,881) = HCF(6296,1083) = HCF(7379,6296) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 6296, 7379 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 6296, 7379?

Answer: HCF of 6296, 7379 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6296, 7379 using Euclid's Algorithm?

Answer: For arbitrary numbers 6296, 7379 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.