Greatest Common Factor of 127/393, 111/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 127/393, 111/180

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 127/393,111/180

Given fractions are 127/393,111/180

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 127,111

Greatest Common Factor of Numerators i.e. GCF of 127,111 is 1 .

LCM of Denominators means LCM of 393,180 as per the given fractions.

LCM of 393,180 is 23580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 127,111

GCF of Fractions 127/393,111/180 is 1/23580

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

Greatest Common Factor of 127,111 By Matching Biggest Common Factor Method

Greatest Common Factor of 127,111 By Matching Biggest Common Factor Method

Factors of 127

List of positive integer factors of 127 that divides 127 without a remainder.

1,127

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Greatest Common Factor

We found the factors 127,111 . The biggest common factor number is the GCF number.
So the greatest common factor 127,111 is 1.

Lets's calculate LCM of 393,180

3 393, 180
131, 60

∴ So the LCM of the given numbers is 3 x 131 x 60 = 23580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23580

Therefore, the GCF of Fractions 127/393,111/180 is 1/23580

Least Common Multiple of 393,180 with GCF Formula

Least Common Multiple of 393,180 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 393,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(393,180) = 3

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

GCF(393,180) x common factors =3 x 1 = 3

LCM(393,180) = ( 393 × 180 ) / 3

LCM(393,180) = 70740 / 3

LCM(393,180) = 23580


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 127/393, 111/180

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 127/393, 111/180?

Answer: GCF of Numerators as per given numbers 127/393, 111/180 is

GCF of Numerators i.e. for 127,111 is 1

LCM of denominators i.e. for 393,180 is 23580.

Thus, GCF of Fractions is 1/23580.Finally, GCF of Fractions for 127/393, 111/180 is 1/23580.