Greatest Common Factor of 3012/939, 3126/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3012/939, 3126/294

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 3012/939,3126/294

Given fractions are 3012/939,3126/294

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 3012,3126

Greatest Common Factor of Numerators i.e. GCF of 3012,3126 is 6 .

LCM of Denominators means LCM of 939,294 as per the given fractions.

LCM of 939,294 is 92022 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3012,3126

GCF of Fractions 3012/939,3126/294 is 6/92022

2 3012, 3126
3 1506, 1563
502, 521

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 3012,3126 By Matching Biggest Common Factor Method

Greatest Common Factor of 3012,3126 By Matching Biggest Common Factor Method

Factors of 3012

List of positive integer factors of 3012 that divides 3012 without a remainder.

1,2,3,4,6,12,251,502,753,1004,1506,3012

Factors of 3126

List of positive integer factors of 3126 that divides 3126 without a remainder.

1,2,3,6,521,1042,1563,3126

Greatest Common Factor

We found the factors 3012,3126 . The biggest common factor number is the GCF number.
So the greatest common factor 3012,3126 is 6.

Lets's calculate LCM of 939,294

3 939, 294
313, 98

∴ So the LCM of the given numbers is 3 x 313 x 98 = 92022

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/92022

Therefore, the GCF of Fractions 3012/939,3126/294 is 6/92022

Least Common Multiple of 939,294 with GCF Formula

Least Common Multiple of 939,294 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 939,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(939,294) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(939,294) x common factors =3 x 1 = 3

LCM(939,294) = ( 939 × 294 ) / 3

LCM(939,294) = 276066 / 3

LCM(939,294) = 92022


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 3012/939, 3126/294

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 3012/939, 3126/294?

Answer: GCF of Numerators as per given numbers 3012/939, 3126/294 is

GCF of Numerators i.e. for 3012,3126 is 6

LCM of denominators i.e. for 939,294 is 92022.

Thus, GCF of Fractions is 6/92022.Finally, GCF of Fractions for 3012/939, 3126/294 is 6/92022.