Greatest Common Factor of 5050/384, 9575/479

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5050/384, 9575/479

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 5050/384,9575/479

Given fractions are 5050/384,9575/479

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 5050,9575

Greatest Common Factor of Numerators i.e. GCF of 5050,9575 is 25 .

LCM of Denominators means LCM of 384,479 as per the given fractions.

LCM of 384,479 is 183936 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5050,9575

GCF of Fractions 5050/384,9575/479 is 25/183936

5 5050, 9575
5 1010, 1915
202, 383

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 5050,9575 By Matching Biggest Common Factor Method

Greatest Common Factor of 5050,9575 By Matching Biggest Common Factor Method

Factors of 5050

List of positive integer factors of 5050 that divides 5050 without a remainder.

1,2,5,10,25,50,101,202,505,1010,2525,5050

Factors of 9575

List of positive integer factors of 9575 that divides 9575 without a remainder.

1,5,25,383,1915,9575

Greatest Common Factor

We found the factors 5050,9575 . The biggest common factor number is the GCF number.
So the greatest common factor 5050,9575 is 25.

Lets's calculate LCM of 384,479

Given numbers has no common factors except 1. So, there LCM is their product i.e 183936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/183936

Therefore, the GCF of Fractions 5050/384,9575/479 is 25/183936

Least Common Multiple of 384,479 with GCF Formula

Least Common Multiple of 384,479 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 384,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,479) = 1

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

GCF(384,479) x common factors =1 x 1 = 1

LCM(384,479) = ( 384 × 479 ) / 1

LCM(384,479) = 183936 / 1

LCM(384,479) = 183936


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 5050/384, 9575/479

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 5050/384, 9575/479?

Answer: GCF of Numerators as per given numbers 5050/384, 9575/479 is

GCF of Numerators i.e. for 5050,9575 is 25

LCM of denominators i.e. for 384,479 is 183936.

Thus, GCF of Fractions is 25/183936.Finally, GCF of Fractions for 5050/384, 9575/479 is 25/183936.