Greatest Common Factor of 727/50, 180/4741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 727/50, 180/4741

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 727/50,180/4741

Given fractions are 727/50,180/4741

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 727,180

Greatest Common Factor of Numerators i.e. GCF of 727,180 is 1 .

LCM of Denominators means LCM of 50,4741 as per the given fractions.

LCM of 50,4741 is 237050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 727,180

GCF of Fractions 727/50,180/4741 is 1/237050

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

Greatest Common Factor of 727,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 727,180 By Matching Biggest Common Factor Method

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 727,180 . The biggest common factor number is the GCF number.
So the greatest common factor 727,180 is 1.

Lets's calculate LCM of 50,4741

Given numbers has no common factors except 1. So, there LCM is their product i.e 237050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/237050

Therefore, the GCF of Fractions 727/50,180/4741 is 1/237050

Least Common Multiple of 50,4741 with GCF Formula

Least Common Multiple of 50,4741 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 50,4741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,4741) = 1

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

GCF(50,4741) x common factors =1 x 1 = 1

LCM(50,4741) = ( 50 × 4741 ) / 1

LCM(50,4741) = 237050 / 1

LCM(50,4741) = 237050


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 727/50, 180/4741

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 727/50, 180/4741?

Answer: GCF of Numerators as per given numbers 727/50, 180/4741 is

GCF of Numerators i.e. for 727,180 is 1

LCM of denominators i.e. for 50,4741 is 237050.

Thus, GCF of Fractions is 1/237050.Finally, GCF of Fractions for 727/50, 180/4741 is 1/237050.