Greatest Common Factor of 7389/103, 9045/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7389/103, 9045/364

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 7389/103,9045/364

Given fractions are 7389/103,9045/364

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 7389,9045

Greatest Common Factor of Numerators i.e. GCF of 7389,9045 is 9 .

LCM of Denominators means LCM of 103,364 as per the given fractions.

LCM of 103,364 is 37492 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7389,9045

GCF of Fractions 7389/103,9045/364 is 9/37492

3 7389, 9045
3 2463, 3015
821, 1005

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 7389,9045 By Matching Biggest Common Factor Method

Greatest Common Factor of 7389,9045 By Matching Biggest Common Factor Method

Factors of 7389

List of positive integer factors of 7389 that divides 7389 without a remainder.

1,3,9,821,2463,7389

Factors of 9045

List of positive integer factors of 9045 that divides 9045 without a remainder.

1,3,5,9,15,27,45,67,135,201,335,603,1005,1809,3015,9045

Greatest Common Factor

We found the factors 7389,9045 . The biggest common factor number is the GCF number.
So the greatest common factor 7389,9045 is 9.

Lets's calculate LCM of 103,364

Given numbers has no common factors except 1. So, there LCM is their product i.e 37492

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/37492

Therefore, the GCF of Fractions 7389/103,9045/364 is 9/37492

Least Common Multiple of 103,364 with GCF Formula

Least Common Multiple of 103,364 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 103,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(103,364) = 1

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

GCF(103,364) x common factors =1 x 1 = 1

LCM(103,364) = ( 103 × 364 ) / 1

LCM(103,364) = 37492 / 1

LCM(103,364) = 37492


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 7389/103, 9045/364

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 7389/103, 9045/364?

Answer: GCF of Numerators as per given numbers 7389/103, 9045/364 is

GCF of Numerators i.e. for 7389,9045 is 9

LCM of denominators i.e. for 103,364 is 37492.

Thus, GCF of Fractions is 9/37492.Finally, GCF of Fractions for 7389/103, 9045/364 is 9/37492.