Greatest Common Factor of 118/21, 198/5013

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 118/21, 198/5013

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 118/21,198/5013

Given fractions are 118/21,198/5013

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 118,198

Greatest Common Factor of Numerators i.e. GCF of 118,198 is 2 .

LCM of Denominators means LCM of 21,5013 as per the given fractions.

LCM of 21,5013 is 35091 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 118,198

GCF of Fractions 118/21,198/5013 is 2/35091

2 118, 198
59, 99

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 118,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 118,198 By Matching Biggest Common Factor Method

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 118,198 . The biggest common factor number is the GCF number.
So the greatest common factor 118,198 is 2.

Lets's calculate LCM of 21,5013

3 21, 5013
7, 1671

∴ So the LCM of the given numbers is 3 x 7 x 1671 = 35091

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/35091

Therefore, the GCF of Fractions 118/21,198/5013 is 2/35091

Least Common Multiple of 21,5013 with GCF Formula

Least Common Multiple of 21,5013 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 21,5013 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,5013) = 3

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

GCF(21,5013) x common factors =3 x 1 = 3

LCM(21,5013) = ( 21 × 5013 ) / 3

LCM(21,5013) = 105273 / 3

LCM(21,5013) = 35091


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 118/21, 198/5013

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 118/21, 198/5013?

Answer: GCF of Numerators as per given numbers 118/21, 198/5013 is

GCF of Numerators i.e. for 118,198 is 2

LCM of denominators i.e. for 21,5013 is 35091.

Thus, GCF of Fractions is 2/35091.Finally, GCF of Fractions for 118/21, 198/5013 is 2/35091.