Greatest Common Factor of 5982/527, 8725/5023

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5982/527, 8725/5023

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 5982/527,8725/5023

Given fractions are 5982/527,8725/5023

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 5982,8725

Greatest Common Factor of Numerators i.e. GCF of 5982,8725 is 1 .

LCM of Denominators means LCM of 527,5023 as per the given fractions.

LCM of 527,5023 is 2647121 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5982,8725

GCF of Fractions 5982/527,8725/5023 is 1/2647121

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

Greatest Common Factor of 5982,8725 By Matching Biggest Common Factor Method

Greatest Common Factor of 5982,8725 By Matching Biggest Common Factor Method

Factors of 5982

List of positive integer factors of 5982 that divides 5982 without a remainder.

1,2,3,6,997,1994,2991,5982

Factors of 8725

List of positive integer factors of 8725 that divides 8725 without a remainder.

1,5,25,349,1745,8725

Greatest Common Factor

We found the factors 5982,8725 . The biggest common factor number is the GCF number.
So the greatest common factor 5982,8725 is 1.

Lets's calculate LCM of 527,5023

Given numbers has no common factors except 1. So, there LCM is their product i.e 2647121

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2647121

Therefore, the GCF of Fractions 5982/527,8725/5023 is 1/2647121

Least Common Multiple of 527,5023 with GCF Formula

Least Common Multiple of 527,5023 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 527,5023 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(527,5023) = 1

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

GCF(527,5023) x common factors =1 x 1 = 1

LCM(527,5023) = ( 527 × 5023 ) / 1

LCM(527,5023) = 2647121 / 1

LCM(527,5023) = 2647121


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 5982/527, 8725/5023

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 5982/527, 8725/5023?

Answer: GCF of Numerators as per given numbers 5982/527, 8725/5023 is

GCF of Numerators i.e. for 5982,8725 is 1

LCM of denominators i.e. for 527,5023 is 2647121.

Thus, GCF of Fractions is 1/2647121.Finally, GCF of Fractions for 5982/527, 8725/5023 is 1/2647121.