Greatest Common Factor of 228/292, 240/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 228/292, 240/270

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 228/292,240/270

Given fractions are 228/292,240/270

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 228,240

Greatest Common Factor of Numerators i.e. GCF of 228,240 is 12 .

LCM of Denominators means LCM of 292,270 as per the given fractions.

LCM of 292,270 is 39420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 228,240

GCF of Fractions 228/292,240/270 is 12/39420

2 228, 240
2 114, 120
3 57, 60
19, 20

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 228,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 228,240 By Matching Biggest Common Factor Method

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 228,240 . The biggest common factor number is the GCF number.
So the greatest common factor 228,240 is 12.

Lets's calculate LCM of 292,270

2 292, 270
146, 135

∴ So the LCM of the given numbers is 2 x 146 x 135 = 39420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/39420

Therefore, the GCF of Fractions 228/292,240/270 is 12/39420

Least Common Multiple of 292,270 with GCF Formula

Least Common Multiple of 292,270 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 292,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(292,270) = 2

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

GCF(292,270) x common factors =2 x 1 = 2

LCM(292,270) = ( 292 × 270 ) / 2

LCM(292,270) = 78840 / 2

LCM(292,270) = 39420


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 228/292, 240/270

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 228/292, 240/270?

Answer: GCF of Numerators as per given numbers 228/292, 240/270 is

GCF of Numerators i.e. for 228,240 is 12

LCM of denominators i.e. for 292,270 is 39420.

Thus, GCF of Fractions is 12/39420.Finally, GCF of Fractions for 228/292, 240/270 is 12/39420.