Highest Common Factor of 980, 910 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 980, 910 i.e. 70 the largest integer that leaves a remainder zero for all numbers.

HCF of 980, 910 is 70 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 980, 910 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 980, 910 is 70.

HCF(980, 910) = 70

HCF of 980, 910 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 980, 910 is 70.

Highest Common Factor of 980,910 using Euclid's algorithm

Highest Common Factor of 980,910 is 70

Step 1: Since 980 > 910, we apply the division lemma to 980 and 910, to get

980 = 910 x 1 + 70

Step 2: Since the reminder 910 ≠ 0, we apply division lemma to 70 and 910, to get

910 = 70 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 70, the HCF of 980 and 910 is 70

Notice that 70 = HCF(910,70) = HCF(980,910) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 980, 910 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 980, 910?

Answer: HCF of 980, 910 is 70 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 980, 910 using Euclid's Algorithm?

Answer: For arbitrary numbers 980, 910 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.