Greatest Common Factor of 50/723, 500/303, 405/718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 50/723, 500/303, 405/718

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 50/723,500/303,405/718

Given fractions are 50/723,500/303,405/718

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 50,500,405

Greatest Common Factor of Numerators i.e. GCF of 50,500,405 is 5 .

LCM of Denominators means LCM of 723,303,718 as per the given fractions.

LCM of 723,303,718 is 52430514 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 50,500,405

GCF of Fractions 50/723,500/303,405/718 is 5/52430514

5 50, 500, 405
10, 100, 81

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

Greatest Common Factor of 50,500,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,500,405 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Greatest Common Factor

We found the factors 50,500,405 . The biggest common factor number is the GCF number.
So the greatest common factor 50,500,405 is 5.

Lets's calculate LCM of 723,303,718

3 723, 303, 718
241, 101, 718

∴ So the LCM of the given numbers is 3 x 241 x 101 x 718 = 52430514

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/52430514

Therefore, the GCF of Fractions 50/723,500/303,405/718 is 5/52430514

Least Common Multiple of 723,303,718 with GCF Formula

Least Common Multiple of 723,303,718 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 723,303,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,303,718) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(723,303,718) x common factors =1 x 3 = 3

LCM(723,303,718) = ( 723 × 303 × 718 ) / 3

LCM(723,303,718) = 157291542 / 3

LCM(723,303,718) = 52430514


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 50/723, 500/303, 405/718

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 50/723, 500/303, 405/718?

Answer: GCF of Numerators as per given numbers 50/723, 500/303, 405/718 is

GCF of Numerators i.e. for 50,500,405 is 5

LCM of denominators i.e. for 723,303,718 is 52430514.

Thus, GCF of Fractions is 5/52430514.Finally, GCF of Fractions for 50/723, 500/303, 405/718 is 5/52430514.