Greatest Common Factor of 138/991, 232/391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 138/991, 232/391

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 138/991,232/391

Given fractions are 138/991,232/391

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 138,232

Greatest Common Factor of Numerators i.e. GCF of 138,232 is 2 .

LCM of Denominators means LCM of 991,391 as per the given fractions.

LCM of 991,391 is 387481 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 138,232

GCF of Fractions 138/991,232/391 is 2/387481

2 138, 232
69, 116

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 138,232 By Matching Biggest Common Factor Method

Greatest Common Factor of 138,232 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 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Greatest Common Factor

We found the factors 138,232 . The biggest common factor number is the GCF number.
So the greatest common factor 138,232 is 2.

Lets's calculate LCM of 991,391

Given numbers has no common factors except 1. So, there LCM is their product i.e 387481

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/387481

Therefore, the GCF of Fractions 138/991,232/391 is 2/387481

Least Common Multiple of 991,391 with GCF Formula

Least Common Multiple of 991,391 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 991,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(991,391) = 1

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

GCF(991,391) x common factors =1 x 1 = 1

LCM(991,391) = ( 991 × 391 ) / 1

LCM(991,391) = 387481 / 1

LCM(991,391) = 387481


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 138/991, 232/391

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 138/991, 232/391?

Answer: GCF of Numerators as per given numbers 138/991, 232/391 is

GCF of Numerators i.e. for 138,232 is 2

LCM of denominators i.e. for 991,391 is 387481.

Thus, GCF of Fractions is 2/387481.Finally, GCF of Fractions for 138/991, 232/391 is 2/387481.