Greatest Common Factor of 3108/33, 3854/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3108/33, 3854/675

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 3108/33,3854/675

Given fractions are 3108/33,3854/675

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 3108,3854

Greatest Common Factor of Numerators i.e. GCF of 3108,3854 is 2 .

LCM of Denominators means LCM of 33,675 as per the given fractions.

LCM of 33,675 is 7425 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3108,3854

GCF of Fractions 3108/33,3854/675 is 2/7425

2 3108, 3854
1554, 1927

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3108,3854 By Matching Biggest Common Factor Method

Greatest Common Factor of 3108,3854 By Matching Biggest Common Factor Method

Factors of 3108

List of positive integer factors of 3108 that divides 3108 without a remainder.

1,2,3,4,6,7,12,14,21,28,37,42,74,84,111,148,222,259,444,518,777,1036,1554,3108

Factors of 3854

List of positive integer factors of 3854 that divides 3854 without a remainder.

1,2,41,47,82,94,1927,3854

Greatest Common Factor

We found the factors 3108,3854 . The biggest common factor number is the GCF number.
So the greatest common factor 3108,3854 is 2.

Lets's calculate LCM of 33,675

3 33, 675
11, 225

∴ So the LCM of the given numbers is 3 x 11 x 225 = 7425

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7425

Therefore, the GCF of Fractions 3108/33,3854/675 is 2/7425

Least Common Multiple of 33,675 with GCF Formula

Least Common Multiple of 33,675 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 33,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,675) = 3

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

GCF(33,675) x common factors =3 x 1 = 3

LCM(33,675) = ( 33 × 675 ) / 3

LCM(33,675) = 22275 / 3

LCM(33,675) = 7425


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 3108/33, 3854/675

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 3108/33, 3854/675?

Answer: GCF of Numerators as per given numbers 3108/33, 3854/675 is

GCF of Numerators i.e. for 3108,3854 is 2

LCM of denominators i.e. for 33,675 is 7425.

Thus, GCF of Fractions is 2/7425.Finally, GCF of Fractions for 3108/33, 3854/675 is 2/7425.