Greatest Common Factor of 20/92, 219/45, 189/121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 20/92, 219/45, 189/121

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 20/92,219/45,189/121

Given fractions are 20/92,219/45,189/121

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 20,219,189

Greatest Common Factor of Numerators i.e. GCF of 20,219,189 is 1 .

LCM of Denominators means LCM of 92,45,121 as per the given fractions.

LCM of 92,45,121 is 500940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 20,219,189

GCF of Fractions 20/92,219/45,189/121 is 1/500940

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

Greatest Common Factor of 20,219,189 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,219,189 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Greatest Common Factor

We found the factors 20,219,189 . The biggest common factor number is the GCF number.
So the greatest common factor 20,219,189 is 1.

Lets's calculate LCM of 92,45,121

Given numbers has no common factors except 1. So, there LCM is their product i.e 500940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/500940

Therefore, the GCF of Fractions 20/92,219/45,189/121 is 1/500940

Least Common Multiple of 92,45,121 with GCF Formula

Least Common Multiple of 92,45,121 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 92,45,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,45,121) = 1

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

GCF(92,45,121) x common factors =1 x 1 = 1

LCM(92,45,121) = ( 92 × 45 × 121 ) / 1

LCM(92,45,121) = 500940 / 1

LCM(92,45,121) = 500940


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 20/92, 219/45, 189/121

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 20/92, 219/45, 189/121?

Answer: GCF of Numerators as per given numbers 20/92, 219/45, 189/121 is

GCF of Numerators i.e. for 20,219,189 is 1

LCM of denominators i.e. for 92,45,121 is 500940.

Thus, GCF of Fractions is 1/500940.Finally, GCF of Fractions for 20/92, 219/45, 189/121 is 1/500940.