Greatest Common Factor of 39/931, 492/973, 129/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 39/931, 492/973, 129/118

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 39/931,492/973,129/118

Given fractions are 39/931,492/973,129/118

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 39,492,129

Greatest Common Factor of Numerators i.e. GCF of 39,492,129 is 3 .

LCM of Denominators means LCM of 931,973,118 as per the given fractions.

LCM of 931,973,118 is 15270262 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 39,492,129

GCF of Fractions 39/931,492/973,129/118 is 3/15270262

3 39, 492, 129
13, 164, 43

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 39,492,129 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,492,129 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Greatest Common Factor

We found the factors 39,492,129 . The biggest common factor number is the GCF number.
So the greatest common factor 39,492,129 is 3.

Lets's calculate LCM of 931,973,118

7 931, 973, 118
133, 139, 118

∴ So the LCM of the given numbers is 7 x 133 x 139 x 118 = 15270262

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/15270262

Therefore, the GCF of Fractions 39/931,492/973,129/118 is 3/15270262

Least Common Multiple of 931,973,118 with GCF Formula

Least Common Multiple of 931,973,118 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 931,973,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(931,973,118) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(931,973,118) x common factors =1 x 7 = 7

LCM(931,973,118) = ( 931 × 973 × 118 ) / 7

LCM(931,973,118) = 106891834 / 7

LCM(931,973,118) = 15270262


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 39/931, 492/973, 129/118

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 39/931, 492/973, 129/118?

Answer: GCF of Numerators as per given numbers 39/931, 492/973, 129/118 is

GCF of Numerators i.e. for 39,492,129 is 3

LCM of denominators i.e. for 931,973,118 is 15270262.

Thus, GCF of Fractions is 3/15270262.Finally, GCF of Fractions for 39/931, 492/973, 129/118 is 3/15270262.