Greatest Common Factor of 7149/903, 1854/9177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7149/903, 1854/9177

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 7149/903,1854/9177

Given fractions are 7149/903,1854/9177

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 7149,1854

Greatest Common Factor of Numerators i.e. GCF of 7149,1854 is 3 .

LCM of Denominators means LCM of 903,9177 as per the given fractions.

LCM of 903,9177 is 394611 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7149,1854

GCF of Fractions 7149/903,1854/9177 is 3/394611

3 7149, 1854
2383, 618

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

Greatest Common Factor of 7149,1854 By Matching Biggest Common Factor Method

Greatest Common Factor of 7149,1854 By Matching Biggest Common Factor Method

Factors of 7149

List of positive integer factors of 7149 that divides 7149 without a remainder.

1,3,2383,7149

Factors of 1854

List of positive integer factors of 1854 that divides 1854 without a remainder.

1,2,3,6,9,18,103,206,309,618,927,1854

Greatest Common Factor

We found the factors 7149,1854 . The biggest common factor number is the GCF number.
So the greatest common factor 7149,1854 is 3.

Lets's calculate LCM of 903,9177

3 903, 9177
7 301, 3059
43, 437

∴ So the LCM of the given numbers is 3 x 7 x 43 x 437 = 394611

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/394611

Therefore, the GCF of Fractions 7149/903,1854/9177 is 3/394611

Least Common Multiple of 903,9177 with GCF Formula

Least Common Multiple of 903,9177 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 903,9177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(903,9177) = 21

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

GCF(903,9177) x common factors =21 x 1 = 21

LCM(903,9177) = ( 903 × 9177 ) / 21

LCM(903,9177) = 8286831 / 21

LCM(903,9177) = 394611


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 7149/903, 1854/9177

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 7149/903, 1854/9177?

Answer: GCF of Numerators as per given numbers 7149/903, 1854/9177 is

GCF of Numerators i.e. for 7149,1854 is 3

LCM of denominators i.e. for 903,9177 is 394611.

Thus, GCF of Fractions is 3/394611.Finally, GCF of Fractions for 7149/903, 1854/9177 is 3/394611.