Greatest Common Factor of 8623/71, 2621/981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8623/71, 2621/981

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 8623/71,2621/981

Given fractions are 8623/71,2621/981

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 8623,2621

Greatest Common Factor of Numerators i.e. GCF of 8623,2621 is 1 .

LCM of Denominators means LCM of 71,981 as per the given fractions.

LCM of 71,981 is 69651 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8623,2621

GCF of Fractions 8623/71,2621/981 is 1/69651

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8623,2621 By Matching Biggest Common Factor Method

Greatest Common Factor of 8623,2621 By Matching Biggest Common Factor Method

Factors of 8623

List of positive integer factors of 8623 that divides 8623 without a remainder.

1,8623

Factors of 2621

List of positive integer factors of 2621 that divides 2621 without a remainder.

1,2621

Greatest Common Factor

We found the factors 8623,2621 . The biggest common factor number is the GCF number.
So the greatest common factor 8623,2621 is 1.

Lets's calculate LCM of 71,981

Given numbers has no common factors except 1. So, there LCM is their product i.e 69651

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69651

Therefore, the GCF of Fractions 8623/71,2621/981 is 1/69651

Least Common Multiple of 71,981 with GCF Formula

Least Common Multiple of 71,981 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 71,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,981) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(71,981) x common factors =1 x 1 = 1

LCM(71,981) = ( 71 × 981 ) / 1

LCM(71,981) = 69651 / 1

LCM(71,981) = 69651


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 8623/71, 2621/981

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 8623/71, 2621/981?

Answer: GCF of Numerators as per given numbers 8623/71, 2621/981 is

GCF of Numerators i.e. for 8623,2621 is 1

LCM of denominators i.e. for 71,981 is 69651.

Thus, GCF of Fractions is 1/69651.Finally, GCF of Fractions for 8623/71, 2621/981 is 1/69651.