Greatest Common Factor of 28/295, 78/760, 604/942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 28/295, 78/760, 604/942

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 28/295,78/760,604/942

Given fractions are 28/295,78/760,604/942

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 28,78,604

Greatest Common Factor of Numerators i.e. GCF of 28,78,604 is 2 .

LCM of Denominators means LCM of 295,760,942 as per the given fractions.

LCM of 295,760,942 is 21119640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,78,604

GCF of Fractions 28/295,78/760,604/942 is 2/21119640

2 28, 78, 604
14, 39, 302

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 28,78,604 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,78,604 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

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 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Greatest Common Factor

We found the factors 28,78,604 . The biggest common factor number is the GCF number.
So the greatest common factor 28,78,604 is 2.


Lets's calculate LCM of 295,760,942

2 295, 760, 942
5 295, 380, 471
59, 76, 471

∴ So the LCM of the given numbers is 2 x 5 x 59 x 76 x 471 = 21119640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21119640

Therefore, the GCF of Fractions 28/295,78/760,604/942 is 2/21119640

Least Common Multiple of 295,760,942 with GCF Formula

Least Common Multiple of 295,760,942 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 295,760,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(295,760,942) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(295,760,942) x common factors =1 x 10 = 10

LCM(295,760,942) = ( 295 × 760 × 942 ) / 10

LCM(295,760,942) = 211196400 / 10

LCM(295,760,942) = 21119640


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 28/295, 78/760, 604/942

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 28/295, 78/760, 604/942?

Answer: GCF of Numerators as per given numbers 28/295, 78/760, 604/942 is

GCF of Numerators i.e. for 28,78,604 is 2

LCM of denominators i.e. for 295,760,942 is 21119640.

Thus, GCF of Fractions is 2/21119640.Finally, GCF of Fractions for 28/295, 78/760, 604/942 is 2/21119640.