Greatest Common Factor of 927/291, 4120/133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 927/291, 4120/133

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 927/291,4120/133

Given fractions are 927/291,4120/133

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 927,4120

Greatest Common Factor of Numerators i.e. GCF of 927,4120 is 103 .

LCM of Denominators means LCM of 291,133 as per the given fractions.

LCM of 291,133 is 38703 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 927,4120

GCF of Fractions 927/291,4120/133 is 103/38703

103 927, 4120
9, 40

∴ So the GCF of the given numbers is 103 = 103

Greatest Common Factor of 927,4120 By Matching Biggest Common Factor Method

Greatest Common Factor of 927,4120 By Matching Biggest Common Factor Method

Factors of 927

List of positive integer factors of 927 that divides 927 without a remainder.

1,3,9,103,309,927

Factors of 4120

List of positive integer factors of 4120 that divides 4120 without a remainder.

1,2,4,5,8,10,20,40,103,206,412,515,824,1030,2060,4120

Greatest Common Factor

We found the factors 927,4120 . The biggest common factor number is the GCF number.
So the greatest common factor 927,4120 is 103.

Lets's calculate LCM of 291,133

Given numbers has no common factors except 1. So, there LCM is their product i.e 38703

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 103/38703

Therefore, the GCF of Fractions 927/291,4120/133 is 103/38703

Least Common Multiple of 291,133 with GCF Formula

Least Common Multiple of 291,133 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 291,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(291,133) = 1

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

GCF(291,133) x common factors =1 x 1 = 1

LCM(291,133) = ( 291 × 133 ) / 1

LCM(291,133) = 38703 / 1

LCM(291,133) = 38703


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 927/291, 4120/133

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 927/291, 4120/133?

Answer: GCF of Numerators as per given numbers 927/291, 4120/133 is

GCF of Numerators i.e. for 927,4120 is 103

LCM of denominators i.e. for 291,133 is 38703.

Thus, GCF of Fractions is 103/38703.Finally, GCF of Fractions for 927/291, 4120/133 is 103/38703.