Greatest Common Factor of 2972/132, 7386/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2972/132, 7386/322

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 2972/132,7386/322

Given fractions are 2972/132,7386/322

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 2972,7386

Greatest Common Factor of Numerators i.e. GCF of 2972,7386 is 2 .

LCM of Denominators means LCM of 132,322 as per the given fractions.

LCM of 132,322 is 21252 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2972,7386

GCF of Fractions 2972/132,7386/322 is 2/21252

2 2972, 7386
1486, 3693

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

Greatest Common Factor of 2972,7386 By Matching Biggest Common Factor Method

Greatest Common Factor of 2972,7386 By Matching Biggest Common Factor Method

Factors of 2972

List of positive integer factors of 2972 that divides 2972 without a remainder.

1,2,4,743,1486,2972

Factors of 7386

List of positive integer factors of 7386 that divides 7386 without a remainder.

1,2,3,6,1231,2462,3693,7386

Greatest Common Factor

We found the factors 2972,7386 . The biggest common factor number is the GCF number.
So the greatest common factor 2972,7386 is 2.

Lets's calculate LCM of 132,322

2 132, 322
66, 161

∴ So the LCM of the given numbers is 2 x 66 x 161 = 21252

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21252

Therefore, the GCF of Fractions 2972/132,7386/322 is 2/21252

Least Common Multiple of 132,322 with GCF Formula

Least Common Multiple of 132,322 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 132,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(132,322) = 2

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

GCF(132,322) x common factors =2 x 1 = 2

LCM(132,322) = ( 132 × 322 ) / 2

LCM(132,322) = 42504 / 2

LCM(132,322) = 21252


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 2972/132, 7386/322

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 2972/132, 7386/322?

Answer: GCF of Numerators as per given numbers 2972/132, 7386/322 is

GCF of Numerators i.e. for 2972,7386 is 2

LCM of denominators i.e. for 132,322 is 21252.

Thus, GCF of Fractions is 2/21252.Finally, GCF of Fractions for 2972/132, 7386/322 is 2/21252.