Greatest Common Factor of 78/975, 388/653, 538/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 78/975, 388/653, 538/420

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 78/975,388/653,538/420

Given fractions are 78/975,388/653,538/420

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 78,388,538

Greatest Common Factor of Numerators i.e. GCF of 78,388,538 is 2 .

LCM of Denominators means LCM of 975,653,420 as per the given fractions.

LCM of 975,653,420 is 17826900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 78,388,538

GCF of Fractions 78/975,388/653,538/420 is 2/17826900

2 78, 388, 538
39, 194, 269

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

Greatest Common Factor of 78,388,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,388,538 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 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 78,388,538 . The biggest common factor number is the GCF number.
So the greatest common factor 78,388,538 is 2.

Lets's calculate LCM of 975,653,420

3 975, 653, 420
5 325, 653, 140
65, 653, 28

∴ So the LCM of the given numbers is 3 x 5 x 65 x 653 x 28 = 17826900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17826900

Therefore, the GCF of Fractions 78/975,388/653,538/420 is 2/17826900

Least Common Multiple of 975,653,420 with GCF Formula

Least Common Multiple of 975,653,420 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 975,653,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,653,420) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(975,653,420) x common factors =1 x 15 = 15

LCM(975,653,420) = ( 975 × 653 × 420 ) / 15

LCM(975,653,420) = 267403500 / 15

LCM(975,653,420) = 17826900


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 78/975, 388/653, 538/420

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 78/975, 388/653, 538/420?

Answer: GCF of Numerators as per given numbers 78/975, 388/653, 538/420 is

GCF of Numerators i.e. for 78,388,538 is 2

LCM of denominators i.e. for 975,653,420 is 17826900.

Thus, GCF of Fractions is 2/17826900.Finally, GCF of Fractions for 78/975, 388/653, 538/420 is 2/17826900.