Greatest Common Factor of 78/93, 130/11, 871/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 78/93, 130/11, 871/687

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 78/93,130/11,871/687

Given fractions are 78/93,130/11,871/687

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 78,130,871

Greatest Common Factor of Numerators i.e. GCF of 78,130,871 is 13 .

LCM of Denominators means LCM of 93,11,687 as per the given fractions.

LCM of 93,11,687 is 234267 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 78,130,871

GCF of Fractions 78/93,130/11,871/687 is 13/234267

13 78, 130, 871
6, 10, 67

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 78,130,871 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,130,871 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 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Greatest Common Factor

We found the factors 78,130,871 . The biggest common factor number is the GCF number.
So the greatest common factor 78,130,871 is 13.

Lets's calculate LCM of 93,11,687

3 93, 11, 687
31, 11, 229

∴ So the LCM of the given numbers is 3 x 31 x 11 x 229 = 234267

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/234267

Therefore, the GCF of Fractions 78/93,130/11,871/687 is 13/234267

Least Common Multiple of 93,11,687 with GCF Formula

Least Common Multiple of 93,11,687 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 93,11,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,11,687) = 1

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

GCF(93,11,687) x common factors =1 x 3 = 3

LCM(93,11,687) = ( 93 × 11 × 687 ) / 3

LCM(93,11,687) = 702801 / 3

LCM(93,11,687) = 234267


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 78/93, 130/11, 871/687

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 78/93, 130/11, 871/687?

Answer: GCF of Numerators as per given numbers 78/93, 130/11, 871/687 is

GCF of Numerators i.e. for 78,130,871 is 13

LCM of denominators i.e. for 93,11,687 is 234267.

Thus, GCF of Fractions is 13/234267.Finally, GCF of Fractions for 78/93, 130/11, 871/687 is 13/234267.