Greatest Common Factor of 2603/39, 9042/906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2603/39, 9042/906

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 2603/39,9042/906

Given fractions are 2603/39,9042/906

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 2603,9042

Greatest Common Factor of Numerators i.e. GCF of 2603,9042 is 137 .

LCM of Denominators means LCM of 39,906 as per the given fractions.

LCM of 39,906 is 11778 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2603,9042

GCF of Fractions 2603/39,9042/906 is 137/11778

137 2603, 9042
19, 66

∴ So the GCF of the given numbers is 137 = 137

Greatest Common Factor of 2603,9042 By Matching Biggest Common Factor Method

Greatest Common Factor of 2603,9042 By Matching Biggest Common Factor Method

Factors of 2603

List of positive integer factors of 2603 that divides 2603 without a remainder.

1,19,137,2603

Factors of 9042

List of positive integer factors of 9042 that divides 9042 without a remainder.

1,2,3,6,11,22,33,66,137,274,411,822,1507,3014,4521,9042

Greatest Common Factor

We found the factors 2603,9042 . The biggest common factor number is the GCF number.
So the greatest common factor 2603,9042 is 137.

Lets's calculate LCM of 39,906

3 39, 906
13, 302

∴ So the LCM of the given numbers is 3 x 13 x 302 = 11778

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 137/11778

Therefore, the GCF of Fractions 2603/39,9042/906 is 137/11778

Least Common Multiple of 39,906 with GCF Formula

Least Common Multiple of 39,906 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 39,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,906) = 3

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

GCF(39,906) x common factors =3 x 1 = 3

LCM(39,906) = ( 39 × 906 ) / 3

LCM(39,906) = 35334 / 3

LCM(39,906) = 11778


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 2603/39, 9042/906

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 2603/39, 9042/906?

Answer: GCF of Numerators as per given numbers 2603/39, 9042/906 is

GCF of Numerators i.e. for 2603,9042 is 137

LCM of denominators i.e. for 39,906 is 11778.

Thus, GCF of Fractions is 137/11778.Finally, GCF of Fractions for 2603/39, 9042/906 is 137/11778.