Greatest Common Factor of 48/472, 91/850, 996/589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/472, 91/850, 996/589

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 48/472,91/850,996/589

Given fractions are 48/472,91/850,996/589

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 48,91,996

Greatest Common Factor of Numerators i.e. GCF of 48,91,996 is 1 .

LCM of Denominators means LCM of 472,850,589 as per the given fractions.

LCM of 472,850,589 is 118153400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,91,996

GCF of Fractions 48/472,91/850,996/589 is 1/118153400

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

Greatest Common Factor of 48,91,996 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,91,996 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Greatest Common Factor

We found the factors 48,91,996 . The biggest common factor number is the GCF number.
So the greatest common factor 48,91,996 is 1.

Lets's calculate LCM of 472,850,589

2 472, 850, 589
236, 425, 589

∴ So the LCM of the given numbers is 2 x 236 x 425 x 589 = 118153400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/118153400

Therefore, the GCF of Fractions 48/472,91/850,996/589 is 1/118153400

Least Common Multiple of 472,850,589 with GCF Formula

Least Common Multiple of 472,850,589 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 472,850,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,850,589) = 1

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

GCF(472,850,589) x common factors =1 x 2 = 2

LCM(472,850,589) = ( 472 × 850 × 589 ) / 2

LCM(472,850,589) = 236306800 / 2

LCM(472,850,589) = 118153400


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 48/472, 91/850, 996/589

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 48/472, 91/850, 996/589?

Answer: GCF of Numerators as per given numbers 48/472, 91/850, 996/589 is

GCF of Numerators i.e. for 48,91,996 is 1

LCM of denominators i.e. for 472,850,589 is 118153400.

Thus, GCF of Fractions is 1/118153400.Finally, GCF of Fractions for 48/472, 91/850, 996/589 is 1/118153400.