Greatest Common Factor of 189/295, 6972/254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 189/295, 6972/254

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 189/295,6972/254

Given fractions are 189/295,6972/254

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 189,6972

Greatest Common Factor of Numerators i.e. GCF of 189,6972 is 21 .

LCM of Denominators means LCM of 295,254 as per the given fractions.

LCM of 295,254 is 74930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 189,6972

GCF of Fractions 189/295,6972/254 is 21/74930

3 189, 6972
7 63, 2324
9, 332

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 189,6972 By Matching Biggest Common Factor Method

Greatest Common Factor of 189,6972 By Matching Biggest Common Factor Method

Factors of 189

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

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

Factors of 6972

List of positive integer factors of 6972 that divides 6972 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,83,84,166,249,332,498,581,996,1162,1743,2324,3486,6972

Greatest Common Factor

We found the factors 189,6972 . The biggest common factor number is the GCF number.
So the greatest common factor 189,6972 is 21.

Lets's calculate LCM of 295,254

Given numbers has no common factors except 1. So, there LCM is their product i.e 74930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/74930

Therefore, the GCF of Fractions 189/295,6972/254 is 21/74930

Least Common Multiple of 295,254 with GCF Formula

Least Common Multiple of 295,254 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 295,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(295,254) = 1

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

GCF(295,254) x common factors =1 x 1 = 1

LCM(295,254) = ( 295 × 254 ) / 1

LCM(295,254) = 74930 / 1

LCM(295,254) = 74930


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 189/295, 6972/254

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 189/295, 6972/254?

Answer: GCF of Numerators as per given numbers 189/295, 6972/254 is

GCF of Numerators i.e. for 189,6972 is 21

LCM of denominators i.e. for 295,254 is 74930.

Thus, GCF of Fractions is 21/74930.Finally, GCF of Fractions for 189/295, 6972/254 is 21/74930.