Greatest Common Factor of 25/39, 14/42, 959/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 25/39, 14/42, 959/114

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 25/39,14/42,959/114

Given fractions are 25/39,14/42,959/114

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 25,14,959

Greatest Common Factor of Numerators i.e. GCF of 25,14,959 is 1 .

LCM of Denominators means LCM of 39,42,114 as per the given fractions.

LCM of 39,42,114 is 10374 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 25,14,959

GCF of Fractions 25/39,14/42,959/114 is 1/10374

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

Greatest Common Factor of 25,14,959 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,14,959 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Greatest Common Factor

We found the factors 25,14,959 . The biggest common factor number is the GCF number.
So the greatest common factor 25,14,959 is 1.

Lets's calculate LCM of 39,42,114

2 39, 42, 114
3 39, 21, 57
13, 7, 19

∴ So the LCM of the given numbers is 2 x 3 x 13 x 7 x 19 = 10374

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10374

Therefore, the GCF of Fractions 25/39,14/42,959/114 is 1/10374

Least Common Multiple of 39,42,114 with GCF Formula

Least Common Multiple of 39,42,114 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 39,42,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,42,114) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(39,42,114) x common factors =3 x 6 = 18

LCM(39,42,114) = ( 39 × 42 × 114 ) / 18

LCM(39,42,114) = 186732 / 18

LCM(39,42,114) = 10374


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 25/39, 14/42, 959/114

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 25/39, 14/42, 959/114?

Answer: GCF of Numerators as per given numbers 25/39, 14/42, 959/114 is

GCF of Numerators i.e. for 25,14,959 is 1

LCM of denominators i.e. for 39,42,114 is 10374.

Thus, GCF of Fractions is 1/10374.Finally, GCF of Fractions for 25/39, 14/42, 959/114 is 1/10374.