Greatest Common Factor of 78/39, 87/921, 134/107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 78/39, 87/921, 134/107

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 78/39,87/921,134/107

Given fractions are 78/39,87/921,134/107

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 78,87,134

Greatest Common Factor of Numerators i.e. GCF of 78,87,134 is 1 .

LCM of Denominators means LCM of 39,921,107 as per the given fractions.

LCM of 39,921,107 is 1281111 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 78,87,134

GCF of Fractions 78/39,87/921,134/107 is 1/1281111

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

Greatest Common Factor of 78,87,134 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,87,134 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 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Greatest Common Factor

We found the factors 78,87,134 . The biggest common factor number is the GCF number.
So the greatest common factor 78,87,134 is 1.

Lets's calculate LCM of 39,921,107

3 39, 921, 107
13, 307, 107

∴ So the LCM of the given numbers is 3 x 13 x 307 x 107 = 1281111

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1281111

Therefore, the GCF of Fractions 78/39,87/921,134/107 is 1/1281111

Least Common Multiple of 39,921,107 with GCF Formula

Least Common Multiple of 39,921,107 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 39,921,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,921,107) = 1

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

GCF(39,921,107) x common factors =1 x 3 = 3

LCM(39,921,107) = ( 39 × 921 × 107 ) / 3

LCM(39,921,107) = 3843333 / 3

LCM(39,921,107) = 1281111


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 78/39, 87/921, 134/107

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 78/39, 87/921, 134/107?

Answer: GCF of Numerators as per given numbers 78/39, 87/921, 134/107 is

GCF of Numerators i.e. for 78,87,134 is 1

LCM of denominators i.e. for 39,921,107 is 1281111.

Thus, GCF of Fractions is 1/1281111.Finally, GCF of Fractions for 78/39, 87/921, 134/107 is 1/1281111.