Highest Common Factor of 7963, 6121, 87133 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 7963, 6121, 87133 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7963, 6121, 87133 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 7963, 6121, 87133 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 7963, 6121, 87133 is 1.

HCF(7963, 6121, 87133) = 1

HCF of 7963, 6121, 87133 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 7963, 6121, 87133 is 1.

Highest Common Factor of 7963,6121,87133 using Euclid's algorithm

Highest Common Factor of 7963,6121,87133 is 1

Step 1: Since 7963 > 6121, we apply the division lemma to 7963 and 6121, to get

7963 = 6121 x 1 + 1842

Step 2: Since the reminder 6121 ≠ 0, we apply division lemma to 1842 and 6121, to get

6121 = 1842 x 3 + 595

Step 3: We consider the new divisor 1842 and the new remainder 595, and apply the division lemma to get

1842 = 595 x 3 + 57

We consider the new divisor 595 and the new remainder 57,and apply the division lemma to get

595 = 57 x 10 + 25

We consider the new divisor 57 and the new remainder 25,and apply the division lemma to get

57 = 25 x 2 + 7

We consider the new divisor 25 and the new remainder 7,and apply the division lemma to get

25 = 7 x 3 + 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 7963 and 6121 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(25,7) = HCF(57,25) = HCF(595,57) = HCF(1842,595) = HCF(6121,1842) = HCF(7963,6121) .

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

Step 1: Since 87133 > 1, we apply the division lemma to 87133 and 1, to get

87133 = 1 x 87133 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 87133 is 1

Notice that 1 = HCF(87133,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 7963, 6121, 87133 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 7963, 6121, 87133?

Answer: HCF of 7963, 6121, 87133 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7963, 6121, 87133 using Euclid's Algorithm?

Answer: For arbitrary numbers 7963, 6121, 87133 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.