Greatest Common Factor of 712/99, 138/29, 660/12

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 712/99, 138/29, 660/12

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 712/99,138/29,660/12

Given fractions are 712/99,138/29,660/12

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 712,138,660

Greatest Common Factor of Numerators i.e. GCF of 712,138,660 is 2 .

LCM of Denominators means LCM of 99,29,12 as per the given fractions.

LCM of 99,29,12 is 11484 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 712,138,660

GCF of Fractions 712/99,138/29,660/12 is 2/11484

2 712, 138, 660
356, 69, 330

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

Greatest Common Factor of 712,138,660 By Matching Biggest Common Factor Method

Greatest Common Factor of 712,138,660 By Matching Biggest Common Factor Method

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Greatest Common Factor

We found the factors 712,138,660 . The biggest common factor number is the GCF number.
So the greatest common factor 712,138,660 is 2.

Lets's calculate LCM of 99,29,12

3 99, 29, 12
33, 29, 4

∴ So the LCM of the given numbers is 3 x 33 x 29 x 4 = 11484

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11484

Therefore, the GCF of Fractions 712/99,138/29,660/12 is 2/11484

Least Common Multiple of 99,29,12 with GCF Formula

Least Common Multiple of 99,29,12 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 99,29,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,29,12) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(99,29,12) x common factors =1 x 3 = 3

LCM(99,29,12) = ( 99 × 29 × 12 ) / 3

LCM(99,29,12) = 34452 / 3

LCM(99,29,12) = 11484


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 712/99, 138/29, 660/12

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 712/99, 138/29, 660/12?

Answer: GCF of Numerators as per given numbers 712/99, 138/29, 660/12 is

GCF of Numerators i.e. for 712,138,660 is 2

LCM of denominators i.e. for 99,29,12 is 11484.

Thus, GCF of Fractions is 2/11484.Finally, GCF of Fractions for 712/99, 138/29, 660/12 is 2/11484.