Highest Common Factor of 7252, 6421 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 7252, 6421 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7252, 6421 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 7252, 6421 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 7252, 6421 is 1.

HCF(7252, 6421) = 1

HCF of 7252, 6421 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 7252, 6421 is 1.

Highest Common Factor of 7252,6421 using Euclid's algorithm

Highest Common Factor of 7252,6421 is 1

Step 1: Since 7252 > 6421, we apply the division lemma to 7252 and 6421, to get

7252 = 6421 x 1 + 831

Step 2: Since the reminder 6421 ≠ 0, we apply division lemma to 831 and 6421, to get

6421 = 831 x 7 + 604

Step 3: We consider the new divisor 831 and the new remainder 604, and apply the division lemma to get

831 = 604 x 1 + 227

We consider the new divisor 604 and the new remainder 227,and apply the division lemma to get

604 = 227 x 2 + 150

We consider the new divisor 227 and the new remainder 150,and apply the division lemma to get

227 = 150 x 1 + 77

We consider the new divisor 150 and the new remainder 77,and apply the division lemma to get

150 = 77 x 1 + 73

We consider the new divisor 77 and the new remainder 73,and apply the division lemma to get

77 = 73 x 1 + 4

We consider the new divisor 73 and the new remainder 4,and apply the division lemma to get

73 = 4 x 18 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7252 and 6421 is 1

Notice that 1 = HCF(4,1) = HCF(73,4) = HCF(77,73) = HCF(150,77) = HCF(227,150) = HCF(604,227) = HCF(831,604) = HCF(6421,831) = HCF(7252,6421) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 7252, 6421 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 7252, 6421?

Answer: HCF of 7252, 6421 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7252, 6421 using Euclid's Algorithm?

Answer: For arbitrary numbers 7252, 6421 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.