Greatest Common Factor of 387/184, 731/435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 387/184, 731/435

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 387/184,731/435

Given fractions are 387/184,731/435

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 387,731

Greatest Common Factor of Numerators i.e. GCF of 387,731 is 43 .

LCM of Denominators means LCM of 184,435 as per the given fractions.

LCM of 184,435 is 80040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 387,731

GCF of Fractions 387/184,731/435 is 43/80040

43 387, 731
9, 17

∴ So the GCF of the given numbers is 43 = 43

Greatest Common Factor of 387,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 387,731 By Matching Biggest Common Factor Method

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Greatest Common Factor

We found the factors 387,731 . The biggest common factor number is the GCF number.
So the greatest common factor 387,731 is 43.

Lets's calculate LCM of 184,435

Given numbers has no common factors except 1. So, there LCM is their product i.e 80040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/80040

Therefore, the GCF of Fractions 387/184,731/435 is 43/80040

Least Common Multiple of 184,435 with GCF Formula

Least Common Multiple of 184,435 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 184,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(184,435) = 1

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

GCF(184,435) x common factors =1 x 1 = 1

LCM(184,435) = ( 184 × 435 ) / 1

LCM(184,435) = 80040 / 1

LCM(184,435) = 80040


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 387/184, 731/435

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 387/184, 731/435?

Answer: GCF of Numerators as per given numbers 387/184, 731/435 is

GCF of Numerators i.e. for 387,731 is 43

LCM of denominators i.e. for 184,435 is 80040.

Thus, GCF of Fractions is 43/80040.Finally, GCF of Fractions for 387/184, 731/435 is 43/80040.