Greatest Common Factor of 99/23, 23/15, 23/29, 76/285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 99/23, 23/15, 23/29, 76/285

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 99/23,23/15,23/29,76/285

Given fractions are 99/23,23/15,23/29,76/285

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 99,23,23,76

Greatest Common Factor of Numerators i.e. GCF of 99,23,23,76 is 1 .

LCM of Denominators means LCM of 23,15,29,285 as per the given fractions.

LCM of 23,15,29,285 is 190095 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 99,23,23,76

GCF of Fractions 99/23,23/15,23/29,76/285 is 1/190095

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 99,23,23,76 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,23,23,76 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 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Greatest Common Factor

We found the factors 99,23,23,76 . The biggest common factor number is the GCF number.
So the greatest common factor 99,23,23,76 is 1.

Lets's calculate LCM of 23,15,29,285

3 23, 15, 29, 285
5 23, 5, 29, 95
23, 1, 29, 19

∴ So the LCM of the given numbers is 3 x 5 x 23 x 1 x 29 x 19 = 190095

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/190095

Therefore, the GCF of Fractions 99/23,23/15,23/29,76/285 is 1/190095

Least Common Multiple of 23,15,29,285 with GCF Formula

Least Common Multiple of 23,15,29,285 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 23,15,29,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,15,29,285) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(23,15,29,285) x common factors =1 x 15 = 15

LCM(23,15,29,285) = ( 23 × 15 × 29 × 285 ) / 15

LCM(23,15,29,285) = 2851425 / 15

LCM(23,15,29,285) = 190095


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 99/23, 23/15, 23/29, 76/285

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 99/23, 23/15, 23/29, 76/285?

Answer: GCF of Numerators as per given numbers 99/23, 23/15, 23/29, 76/285 is

GCF of Numerators i.e. for 99,23,23,76 is 1

LCM of denominators i.e. for 23,15,29,285 is 190095.

Thus, GCF of Fractions is 1/190095.Finally, GCF of Fractions for 99/23, 23/15, 23/29, 76/285 is 1/190095.