Greatest Common Factor of 138/912, 4163/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 138/912, 4163/365

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 138/912,4163/365

Given fractions are 138/912,4163/365

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 138,4163

Greatest Common Factor of Numerators i.e. GCF of 138,4163 is 23 .

LCM of Denominators means LCM of 912,365 as per the given fractions.

LCM of 912,365 is 332880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 138,4163

GCF of Fractions 138/912,4163/365 is 23/332880

23 138, 4163
6, 181

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 138,4163 By Matching Biggest Common Factor Method

Greatest Common Factor of 138,4163 By Matching Biggest Common Factor Method

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 4163

List of positive integer factors of 4163 that divides 4163 without a remainder.

1,23,181,4163

Greatest Common Factor

We found the factors 138,4163 . The biggest common factor number is the GCF number.
So the greatest common factor 138,4163 is 23.

Lets's calculate LCM of 912,365

Given numbers has no common factors except 1. So, there LCM is their product i.e 332880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/332880

Therefore, the GCF of Fractions 138/912,4163/365 is 23/332880

Least Common Multiple of 912,365 with GCF Formula

Least Common Multiple of 912,365 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 912,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(912,365) = 1

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

GCF(912,365) x common factors =1 x 1 = 1

LCM(912,365) = ( 912 × 365 ) / 1

LCM(912,365) = 332880 / 1

LCM(912,365) = 332880


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 138/912, 4163/365

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 138/912, 4163/365?

Answer: GCF of Numerators as per given numbers 138/912, 4163/365 is

GCF of Numerators i.e. for 138,4163 is 23

LCM of denominators i.e. for 912,365 is 332880.

Thus, GCF of Fractions is 23/332880.Finally, GCF of Fractions for 138/912, 4163/365 is 23/332880.