Greatest Common Factor of 99/512, 900/522, 484/979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 99/512, 900/522, 484/979

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 99/512,900/522,484/979

Given fractions are 99/512,900/522,484/979

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 99,900,484

Greatest Common Factor of Numerators i.e. GCF of 99,900,484 is 1 .

LCM of Denominators means LCM of 512,522,979 as per the given fractions.

LCM of 512,522,979 is 130825728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 99,900,484

GCF of Fractions 99/512,900/522,484/979 is 1/130825728

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

Greatest Common Factor of 99,900,484 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,900,484 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 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Greatest Common Factor

We found the factors 99,900,484 . The biggest common factor number is the GCF number.
So the greatest common factor 99,900,484 is 1.

Lets's calculate LCM of 512,522,979

2 512, 522, 979
256, 261, 979

∴ So the LCM of the given numbers is 2 x 256 x 261 x 979 = 130825728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130825728

Therefore, the GCF of Fractions 99/512,900/522,484/979 is 1/130825728

Least Common Multiple of 512,522,979 with GCF Formula

Least Common Multiple of 512,522,979 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 512,522,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,522,979) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(512,522,979) x common factors =1 x 2 = 2

LCM(512,522,979) = ( 512 × 522 × 979 ) / 2

LCM(512,522,979) = 261651456 / 2

LCM(512,522,979) = 130825728


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 99/512, 900/522, 484/979

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 99/512, 900/522, 484/979?

Answer: GCF of Numerators as per given numbers 99/512, 900/522, 484/979 is

GCF of Numerators i.e. for 99,900,484 is 1

LCM of denominators i.e. for 512,522,979 is 130825728.

Thus, GCF of Fractions is 1/130825728.Finally, GCF of Fractions for 99/512, 900/522, 484/979 is 1/130825728.