Greatest Common Factor of 10/20, 187/87, 378/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 10/20, 187/87, 378/351

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 10/20,187/87,378/351

Given fractions are 10/20,187/87,378/351

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 10,187,378

Greatest Common Factor of Numerators i.e. GCF of 10,187,378 is 1 .

LCM of Denominators means LCM of 20,87,351 as per the given fractions.

LCM of 20,87,351 is 203580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 10,187,378

GCF of Fractions 10/20,187/87,378/351 is 1/203580

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 10,187,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,187,378 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Greatest Common Factor

We found the factors 10,187,378 . The biggest common factor number is the GCF number.
So the greatest common factor 10,187,378 is 1.

Lets's calculate LCM of 20,87,351

3 20, 87, 351
20, 29, 117

∴ So the LCM of the given numbers is 3 x 20 x 29 x 117 = 203580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/203580

Therefore, the GCF of Fractions 10/20,187/87,378/351 is 1/203580

Least Common Multiple of 20,87,351 with GCF Formula

Least Common Multiple of 20,87,351 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 20,87,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,87,351) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(20,87,351) x common factors =1 x 3 = 3

LCM(20,87,351) = ( 20 × 87 × 351 ) / 3

LCM(20,87,351) = 610740 / 3

LCM(20,87,351) = 203580


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 10/20, 187/87, 378/351

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 10/20, 187/87, 378/351?

Answer: GCF of Numerators as per given numbers 10/20, 187/87, 378/351 is

GCF of Numerators i.e. for 10,187,378 is 1

LCM of denominators i.e. for 20,87,351 is 203580.

Thus, GCF of Fractions is 1/203580.Finally, GCF of Fractions for 10/20, 187/87, 378/351 is 1/203580.