Greatest Common Factor of 99/96, 108/69, 612/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 99/96, 108/69, 612/414

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 99/96,108/69,612/414

Given fractions are 99/96,108/69,612/414

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 99,108,612

Greatest Common Factor of Numerators i.e. GCF of 99,108,612 is 9 .

LCM of Denominators means LCM of 96,69,414 as per the given fractions.

LCM of 96,69,414 is 6624 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 99,108,612

GCF of Fractions 99/96,108/69,612/414 is 9/6624

3 99, 108, 612
3 33, 36, 204
11, 12, 68

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 99,108,612 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,108,612 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Greatest Common Factor

We found the factors 99,108,612 . The biggest common factor number is the GCF number.
So the greatest common factor 99,108,612 is 9.

Lets's calculate LCM of 96,69,414

2 96, 69, 414
3 48, 69, 207
23 16, 23, 69
16, 1, 3

∴ So the LCM of the given numbers is 2 x 3 x 23 x 16 x 1 x 3 = 6624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/6624

Therefore, the GCF of Fractions 99/96,108/69,612/414 is 9/6624

Least Common Multiple of 96,69,414 with GCF Formula

Least Common Multiple of 96,69,414 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 96,69,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,69,414) = 3

common factors(in case of two or more numbers have common factors) = 138

GCF(96,69,414) x common factors =3 x 138 = 414

LCM(96,69,414) = ( 96 × 69 × 414 ) / 414

LCM(96,69,414) = 2742336 / 414

LCM(96,69,414) = 6624


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 99/96, 108/69, 612/414

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 99/96, 108/69, 612/414?

Answer: GCF of Numerators as per given numbers 99/96, 108/69, 612/414 is

GCF of Numerators i.e. for 99,108,612 is 9

LCM of denominators i.e. for 96,69,414 is 6624.

Thus, GCF of Fractions is 9/6624.Finally, GCF of Fractions for 99/96, 108/69, 612/414 is 9/6624.