Greatest Common Factor of 3723/90, 5876/539

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3723/90, 5876/539

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 3723/90,5876/539

Given fractions are 3723/90,5876/539

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 3723,5876

Greatest Common Factor of Numerators i.e. GCF of 3723,5876 is 1 .

LCM of Denominators means LCM of 90,539 as per the given fractions.

LCM of 90,539 is 48510 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3723,5876

GCF of Fractions 3723/90,5876/539 is 1/48510

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

Greatest Common Factor of 3723,5876 By Matching Biggest Common Factor Method

Greatest Common Factor of 3723,5876 By Matching Biggest Common Factor Method

Factors of 3723

List of positive integer factors of 3723 that divides 3723 without a remainder.

1,3,17,51,73,219,1241,3723

Factors of 5876

List of positive integer factors of 5876 that divides 5876 without a remainder.

1,2,4,13,26,52,113,226,452,1469,2938,5876

Greatest Common Factor

We found the factors 3723,5876 . The biggest common factor number is the GCF number.
So the greatest common factor 3723,5876 is 1.

Lets's calculate LCM of 90,539

Given numbers has no common factors except 1. So, there LCM is their product i.e 48510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48510

Therefore, the GCF of Fractions 3723/90,5876/539 is 1/48510

Least Common Multiple of 90,539 with GCF Formula

Least Common Multiple of 90,539 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 90,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,539) = 1

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

GCF(90,539) x common factors =1 x 1 = 1

LCM(90,539) = ( 90 × 539 ) / 1

LCM(90,539) = 48510 / 1

LCM(90,539) = 48510


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 3723/90, 5876/539

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 3723/90, 5876/539?

Answer: GCF of Numerators as per given numbers 3723/90, 5876/539 is

GCF of Numerators i.e. for 3723,5876 is 1

LCM of denominators i.e. for 90,539 is 48510.

Thus, GCF of Fractions is 1/48510.Finally, GCF of Fractions for 3723/90, 5876/539 is 1/48510.