Greatest Common Factor of 3729/368, 8794/523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3729/368, 8794/523

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 3729/368,8794/523

Given fractions are 3729/368,8794/523

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 3729,8794

Greatest Common Factor of Numerators i.e. GCF of 3729,8794 is 1 .

LCM of Denominators means LCM of 368,523 as per the given fractions.

LCM of 368,523 is 192464 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3729,8794

GCF of Fractions 3729/368,8794/523 is 1/192464

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3729,8794 By Matching Biggest Common Factor Method

Greatest Common Factor of 3729,8794 By Matching Biggest Common Factor Method

Factors of 3729

List of positive integer factors of 3729 that divides 3729 without a remainder.

1,3,11,33,113,339,1243,3729

Factors of 8794

List of positive integer factors of 8794 that divides 8794 without a remainder.

1,2,4397,8794

Greatest Common Factor

We found the factors 3729,8794 . The biggest common factor number is the GCF number.
So the greatest common factor 3729,8794 is 1.

Lets's calculate LCM of 368,523

Given numbers has no common factors except 1. So, there LCM is their product i.e 192464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/192464

Therefore, the GCF of Fractions 3729/368,8794/523 is 1/192464

Least Common Multiple of 368,523 with GCF Formula

Least Common Multiple of 368,523 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 368,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(368,523) = 1

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

GCF(368,523) x common factors =1 x 1 = 1

LCM(368,523) = ( 368 × 523 ) / 1

LCM(368,523) = 192464 / 1

LCM(368,523) = 192464


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 3729/368, 8794/523

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 3729/368, 8794/523?

Answer: GCF of Numerators as per given numbers 3729/368, 8794/523 is

GCF of Numerators i.e. for 3729,8794 is 1

LCM of denominators i.e. for 368,523 is 192464.

Thus, GCF of Fractions is 1/192464.Finally, GCF of Fractions for 3729/368, 8794/523 is 1/192464.