Greatest Common Factor of 12/40, 912/78, 963/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 12/40, 912/78, 963/146

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 12/40,912/78,963/146

Given fractions are 12/40,912/78,963/146

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 12,912,963

Greatest Common Factor of Numerators i.e. GCF of 12,912,963 is 3 .

LCM of Denominators means LCM of 40,78,146 as per the given fractions.

LCM of 40,78,146 is 113880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 12,912,963

GCF of Fractions 12/40,912/78,963/146 is 3/113880

3 12, 912, 963
4, 304, 321

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

Greatest Common Factor of 12,912,963 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,912,963 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 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Greatest Common Factor

We found the factors 12,912,963 . The biggest common factor number is the GCF number.
So the greatest common factor 12,912,963 is 3.

Lets's calculate LCM of 40,78,146

2 40, 78, 146
20, 39, 73

∴ So the LCM of the given numbers is 2 x 20 x 39 x 73 = 113880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/113880

Therefore, the GCF of Fractions 12/40,912/78,963/146 is 3/113880

Least Common Multiple of 40,78,146 with GCF Formula

Least Common Multiple of 40,78,146 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 40,78,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,78,146) = 2

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

GCF(40,78,146) x common factors =2 x 2 = 4

LCM(40,78,146) = ( 40 × 78 × 146 ) / 4

LCM(40,78,146) = 455520 / 4

LCM(40,78,146) = 113880


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 12/40, 912/78, 963/146

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 12/40, 912/78, 963/146?

Answer: GCF of Numerators as per given numbers 12/40, 912/78, 963/146 is

GCF of Numerators i.e. for 12,912,963 is 3

LCM of denominators i.e. for 40,78,146 is 113880.

Thus, GCF of Fractions is 3/113880.Finally, GCF of Fractions for 12/40, 912/78, 963/146 is 3/113880.