Greatest Common Factor of 246/360, 144/789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 246/360, 144/789

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 246/360,144/789

Given fractions are 246/360,144/789

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 246,144

Greatest Common Factor of Numerators i.e. GCF of 246,144 is 6 .

LCM of Denominators means LCM of 360,789 as per the given fractions.

LCM of 360,789 is 94680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 246,144

GCF of Fractions 246/360,144/789 is 6/94680

2 246, 144
3 123, 72
41, 24

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 246,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 246,144 By Matching Biggest Common Factor Method

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

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 246,144 . The biggest common factor number is the GCF number.
So the greatest common factor 246,144 is 6.

Lets's calculate LCM of 360,789

3 360, 789
120, 263

∴ So the LCM of the given numbers is 3 x 120 x 263 = 94680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/94680

Therefore, the GCF of Fractions 246/360,144/789 is 6/94680

Least Common Multiple of 360,789 with GCF Formula

Least Common Multiple of 360,789 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 360,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,789) = 3

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

GCF(360,789) x common factors =3 x 1 = 3

LCM(360,789) = ( 360 × 789 ) / 3

LCM(360,789) = 284040 / 3

LCM(360,789) = 94680


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 246/360, 144/789

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 246/360, 144/789?

Answer: GCF of Numerators as per given numbers 246/360, 144/789 is

GCF of Numerators i.e. for 246,144 is 6

LCM of denominators i.e. for 360,789 is 94680.

Thus, GCF of Fractions is 6/94680.Finally, GCF of Fractions for 246/360, 144/789 is 6/94680.