Highest Common Factor of 8360, 928 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 8360, 928 i.e. 8 the largest integer that leaves a remainder zero for all numbers.

HCF of 8360, 928 is 8 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 8360, 928 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 8360, 928 is 8.

HCF(8360, 928) = 8

HCF of 8360, 928 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 8360, 928 is 8.

Highest Common Factor of 8360,928 using Euclid's algorithm

Highest Common Factor of 8360,928 is 8

Step 1: Since 8360 > 928, we apply the division lemma to 8360 and 928, to get

8360 = 928 x 9 + 8

Step 2: Since the reminder 928 ≠ 0, we apply division lemma to 8 and 928, to get

928 = 8 x 116 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 8360 and 928 is 8

Notice that 8 = HCF(928,8) = HCF(8360,928) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 8360, 928 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 8360, 928?

Answer: HCF of 8360, 928 is 8 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8360, 928 using Euclid's Algorithm?

Answer: For arbitrary numbers 8360, 928 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.