Greatest Common Factor of 12/49, 51/138, 302/934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 12/49, 51/138, 302/934

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 12/49,51/138,302/934

Given fractions are 12/49,51/138,302/934

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 12,51,302

Greatest Common Factor of Numerators i.e. GCF of 12,51,302 is 1 .

LCM of Denominators means LCM of 49,138,934 as per the given fractions.

LCM of 49,138,934 is 3157854 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 12,51,302

GCF of Fractions 12/49,51/138,302/934 is 1/3157854

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

Greatest Common Factor of 12,51,302 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,51,302 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Greatest Common Factor

We found the factors 12,51,302 . The biggest common factor number is the GCF number.
So the greatest common factor 12,51,302 is 1.

Lets's calculate LCM of 49,138,934

2 49, 138, 934
49, 69, 467

∴ So the LCM of the given numbers is 2 x 49 x 69 x 467 = 3157854

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3157854

Therefore, the GCF of Fractions 12/49,51/138,302/934 is 1/3157854

Least Common Multiple of 49,138,934 with GCF Formula

Least Common Multiple of 49,138,934 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 49,138,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,138,934) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(49,138,934) x common factors =1 x 2 = 2

LCM(49,138,934) = ( 49 × 138 × 934 ) / 2

LCM(49,138,934) = 6315708 / 2

LCM(49,138,934) = 3157854


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 12/49, 51/138, 302/934

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 12/49, 51/138, 302/934?

Answer: GCF of Numerators as per given numbers 12/49, 51/138, 302/934 is

GCF of Numerators i.e. for 12,51,302 is 1

LCM of denominators i.e. for 49,138,934 is 3157854.

Thus, GCF of Fractions is 1/3157854.Finally, GCF of Fractions for 12/49, 51/138, 302/934 is 1/3157854.