Greatest Common Factor of 78/663, 138/256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 78/663, 138/256

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 78/663,138/256

Given fractions are 78/663,138/256

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 78,138

Greatest Common Factor of Numerators i.e. GCF of 78,138 is 6 .

LCM of Denominators means LCM of 663,256 as per the given fractions.

LCM of 663,256 is 169728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 78,138

GCF of Fractions 78/663,138/256 is 6/169728

2 78, 138
3 39, 69
13, 23

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

Greatest Common Factor of 78,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,138 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 78,138 . The biggest common factor number is the GCF number.
So the greatest common factor 78,138 is 6.

Lets's calculate LCM of 663,256

Given numbers has no common factors except 1. So, there LCM is their product i.e 169728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/169728

Therefore, the GCF of Fractions 78/663,138/256 is 6/169728

Least Common Multiple of 663,256 with GCF Formula

Least Common Multiple of 663,256 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 663,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(663,256) = 1

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

GCF(663,256) x common factors =1 x 1 = 1

LCM(663,256) = ( 663 × 256 ) / 1

LCM(663,256) = 169728 / 1

LCM(663,256) = 169728


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 78/663, 138/256

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 78/663, 138/256?

Answer: GCF of Numerators as per given numbers 78/663, 138/256 is

GCF of Numerators i.e. for 78,138 is 6

LCM of denominators i.e. for 663,256 is 169728.

Thus, GCF of Fractions is 6/169728.Finally, GCF of Fractions for 78/663, 138/256 is 6/169728.