Greatest Common Factor of 954/78, 160/74, 642/12

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 954/78, 160/74, 642/12

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 954/78,160/74,642/12

Given fractions are 954/78,160/74,642/12

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 954,160,642

Greatest Common Factor of Numerators i.e. GCF of 954,160,642 is 2 .

LCM of Denominators means LCM of 78,74,12 as per the given fractions.

LCM of 78,74,12 is 5772 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 954,160,642

GCF of Fractions 954/78,160/74,642/12 is 2/5772

2 954, 160, 642
477, 80, 321

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 954,160,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 954,160,642 By Matching Biggest Common Factor Method

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 954,160,642 . The biggest common factor number is the GCF number.
So the greatest common factor 954,160,642 is 2.

Lets's calculate LCM of 78,74,12

2 78, 74, 12
3 39, 37, 6
13, 37, 2

∴ So the LCM of the given numbers is 2 x 3 x 13 x 37 x 2 = 5772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5772

Therefore, the GCF of Fractions 954/78,160/74,642/12 is 2/5772

Least Common Multiple of 78,74,12 with GCF Formula

Least Common Multiple of 78,74,12 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 78,74,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,74,12) = 2

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

GCF(78,74,12) x common factors =2 x 6 = 12

LCM(78,74,12) = ( 78 × 74 × 12 ) / 12

LCM(78,74,12) = 69264 / 12

LCM(78,74,12) = 5772


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 954/78, 160/74, 642/12

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 954/78, 160/74, 642/12?

Answer: GCF of Numerators as per given numbers 954/78, 160/74, 642/12 is

GCF of Numerators i.e. for 954,160,642 is 2

LCM of denominators i.e. for 78,74,12 is 5772.

Thus, GCF of Fractions is 2/5772.Finally, GCF of Fractions for 954/78, 160/74, 642/12 is 2/5772.