Greatest Common Factor of 9123/660, 3773/2642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9123/660, 3773/2642

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 9123/660,3773/2642

Given fractions are 9123/660,3773/2642

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 9123,3773

Greatest Common Factor of Numerators i.e. GCF of 9123,3773 is 1 .

LCM of Denominators means LCM of 660,2642 as per the given fractions.

LCM of 660,2642 is 871860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9123,3773

GCF of Fractions 9123/660,3773/2642 is 1/871860

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

Greatest Common Factor of 9123,3773 By Matching Biggest Common Factor Method

Greatest Common Factor of 9123,3773 By Matching Biggest Common Factor Method

Factors of 9123

List of positive integer factors of 9123 that divides 9123 without a remainder.

1,3,3041,9123

Factors of 3773

List of positive integer factors of 3773 that divides 3773 without a remainder.

1,7,11,49,77,343,539,3773

Greatest Common Factor

We found the factors 9123,3773 . The biggest common factor number is the GCF number.
So the greatest common factor 9123,3773 is 1.

Lets's calculate LCM of 660,2642

2 660, 2642
330, 1321

∴ So the LCM of the given numbers is 2 x 330 x 1321 = 871860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/871860

Therefore, the GCF of Fractions 9123/660,3773/2642 is 1/871860

Least Common Multiple of 660,2642 with GCF Formula

Least Common Multiple of 660,2642 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 660,2642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,2642) = 2

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

GCF(660,2642) x common factors =2 x 1 = 2

LCM(660,2642) = ( 660 × 2642 ) / 2

LCM(660,2642) = 1743720 / 2

LCM(660,2642) = 871860


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 9123/660, 3773/2642

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 9123/660, 3773/2642?

Answer: GCF of Numerators as per given numbers 9123/660, 3773/2642 is

GCF of Numerators i.e. for 9123,3773 is 1

LCM of denominators i.e. for 660,2642 is 871860.

Thus, GCF of Fractions is 1/871860.Finally, GCF of Fractions for 9123/660, 3773/2642 is 1/871860.