Greatest Common Factor of 36/184, 342/751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 36/184, 342/751

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 36/184,342/751

Given fractions are 36/184,342/751

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 36,342

Greatest Common Factor of Numerators i.e. GCF of 36,342 is 18 .

LCM of Denominators means LCM of 184,751 as per the given fractions.

LCM of 184,751 is 138184 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 36,342

GCF of Fractions 36/184,342/751 is 18/138184

2 36, 342
3 18, 171
3 6, 57
2, 19

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 36,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,342 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 36,342 . The biggest common factor number is the GCF number.
So the greatest common factor 36,342 is 18.

Lets's calculate LCM of 184,751

Given numbers has no common factors except 1. So, there LCM is their product i.e 138184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/138184

Therefore, the GCF of Fractions 36/184,342/751 is 18/138184

Least Common Multiple of 184,751 with GCF Formula

Least Common Multiple of 184,751 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 184,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(184,751) = 1

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

GCF(184,751) x common factors =1 x 1 = 1

LCM(184,751) = ( 184 × 751 ) / 1

LCM(184,751) = 138184 / 1

LCM(184,751) = 138184


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 36/184, 342/751

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 36/184, 342/751?

Answer: GCF of Numerators as per given numbers 36/184, 342/751 is

GCF of Numerators i.e. for 36,342 is 18

LCM of denominators i.e. for 184,751 is 138184.

Thus, GCF of Fractions is 18/138184.Finally, GCF of Fractions for 36/184, 342/751 is 18/138184.