Greatest Common Factor of 7930/181, 8489/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7930/181, 8489/310

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 7930/181,8489/310

Given fractions are 7930/181,8489/310

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 7930,8489

Greatest Common Factor of Numerators i.e. GCF of 7930,8489 is 13 .

LCM of Denominators means LCM of 181,310 as per the given fractions.

LCM of 181,310 is 56110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7930,8489

GCF of Fractions 7930/181,8489/310 is 13/56110

13 7930, 8489
610, 653

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 7930,8489 By Matching Biggest Common Factor Method

Greatest Common Factor of 7930,8489 By Matching Biggest Common Factor Method

Factors of 7930

List of positive integer factors of 7930 that divides 7930 without a remainder.

1,2,5,10,13,26,61,65,122,130,305,610,793,1586,3965,7930

Factors of 8489

List of positive integer factors of 8489 that divides 8489 without a remainder.

1,13,653,8489

Greatest Common Factor

We found the factors 7930,8489 . The biggest common factor number is the GCF number.
So the greatest common factor 7930,8489 is 13.

Lets's calculate LCM of 181,310

Given numbers has no common factors except 1. So, there LCM is their product i.e 56110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/56110

Therefore, the GCF of Fractions 7930/181,8489/310 is 13/56110

Least Common Multiple of 181,310 with GCF Formula

Least Common Multiple of 181,310 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 181,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(181,310) = 1

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

GCF(181,310) x common factors =1 x 1 = 1

LCM(181,310) = ( 181 × 310 ) / 1

LCM(181,310) = 56110 / 1

LCM(181,310) = 56110


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 7930/181, 8489/310

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 7930/181, 8489/310?

Answer: GCF of Numerators as per given numbers 7930/181, 8489/310 is

GCF of Numerators i.e. for 7930,8489 is 13

LCM of denominators i.e. for 181,310 is 56110.

Thus, GCF of Fractions is 13/56110.Finally, GCF of Fractions for 7930/181, 8489/310 is 13/56110.