Greatest Common Factor of 48/321, 516/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/321, 516/723

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 48/321,516/723

Given fractions are 48/321,516/723

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 48,516

Greatest Common Factor of Numerators i.e. GCF of 48,516 is 12 .

LCM of Denominators means LCM of 321,723 as per the given fractions.

LCM of 321,723 is 77361 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,516

GCF of Fractions 48/321,516/723 is 12/77361

2 48, 516
2 24, 258
3 12, 129
4, 43

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 48,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,516 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 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Greatest Common Factor

We found the factors 48,516 . The biggest common factor number is the GCF number.
So the greatest common factor 48,516 is 12.

Lets's calculate LCM of 321,723

3 321, 723
107, 241

∴ So the LCM of the given numbers is 3 x 107 x 241 = 77361

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/77361

Therefore, the GCF of Fractions 48/321,516/723 is 12/77361

Least Common Multiple of 321,723 with GCF Formula

Least Common Multiple of 321,723 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 321,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(321,723) = 3

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

GCF(321,723) x common factors =3 x 1 = 3

LCM(321,723) = ( 321 × 723 ) / 3

LCM(321,723) = 232083 / 3

LCM(321,723) = 77361


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 48/321, 516/723

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 48/321, 516/723?

Answer: GCF of Numerators as per given numbers 48/321, 516/723 is

GCF of Numerators i.e. for 48,516 is 12

LCM of denominators i.e. for 321,723 is 77361.

Thus, GCF of Fractions is 12/77361.Finally, GCF of Fractions for 48/321, 516/723 is 12/77361.