Greatest Common Factor of 9098/558, 7889/4644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9098/558, 7889/4644

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 9098/558,7889/4644

Given fractions are 9098/558,7889/4644

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 9098,7889

Greatest Common Factor of Numerators i.e. GCF of 9098,7889 is 1 .

LCM of Denominators means LCM of 558,4644 as per the given fractions.

LCM of 558,4644 is 143964 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9098,7889

GCF of Fractions 9098/558,7889/4644 is 1/143964

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

Greatest Common Factor of 9098,7889 By Matching Biggest Common Factor Method

Greatest Common Factor of 9098,7889 By Matching Biggest Common Factor Method

Factors of 9098

List of positive integer factors of 9098 that divides 9098 without a remainder.

1,2,4549,9098

Factors of 7889

List of positive integer factors of 7889 that divides 7889 without a remainder.

1,7,23,49,161,343,1127,7889

Greatest Common Factor

We found the factors 9098,7889 . The biggest common factor number is the GCF number.
So the greatest common factor 9098,7889 is 1.

Lets's calculate LCM of 558,4644

2 558, 4644
3 279, 2322
3 93, 774
31, 258

∴ So the LCM of the given numbers is 2 x 3 x 3 x 31 x 258 = 143964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143964

Therefore, the GCF of Fractions 9098/558,7889/4644 is 1/143964

Least Common Multiple of 558,4644 with GCF Formula

Least Common Multiple of 558,4644 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 558,4644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(558,4644) = 18

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

GCF(558,4644) x common factors =18 x 1 = 18

LCM(558,4644) = ( 558 × 4644 ) / 18

LCM(558,4644) = 2591352 / 18

LCM(558,4644) = 143964


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 9098/558, 7889/4644

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 9098/558, 7889/4644?

Answer: GCF of Numerators as per given numbers 9098/558, 7889/4644 is

GCF of Numerators i.e. for 9098,7889 is 1

LCM of denominators i.e. for 558,4644 is 143964.

Thus, GCF of Fractions is 1/143964.Finally, GCF of Fractions for 9098/558, 7889/4644 is 1/143964.