Greatest Common Factor of 252/32, 144/195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 252/32, 144/195

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 252/32,144/195

Given fractions are 252/32,144/195

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 252,144

Greatest Common Factor of Numerators i.e. GCF of 252,144 is 36 .

LCM of Denominators means LCM of 32,195 as per the given fractions.

LCM of 32,195 is 6240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 252,144

GCF of Fractions 252/32,144/195 is 36/6240

2 252, 144
2 126, 72
3 63, 36
3 21, 12
7, 4

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Greatest Common Factor of 252,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 252,144 By Matching Biggest Common Factor Method

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 252,144 . The biggest common factor number is the GCF number.
So the greatest common factor 252,144 is 36.

Lets's calculate LCM of 32,195

Given numbers has no common factors except 1. So, there LCM is their product i.e 6240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/6240

Therefore, the GCF of Fractions 252/32,144/195 is 36/6240

Least Common Multiple of 32,195 with GCF Formula

Least Common Multiple of 32,195 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 32,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,195) = 1

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

GCF(32,195) x common factors =1 x 1 = 1

LCM(32,195) = ( 32 × 195 ) / 1

LCM(32,195) = 6240 / 1

LCM(32,195) = 6240


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 252/32, 144/195

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 252/32, 144/195?

Answer: GCF of Numerators as per given numbers 252/32, 144/195 is

GCF of Numerators i.e. for 252,144 is 36

LCM of denominators i.e. for 32,195 is 6240.

Thus, GCF of Fractions is 36/6240.Finally, GCF of Fractions for 252/32, 144/195 is 36/6240.