Greatest Common Factor of 2655/354, 9895/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2655/354, 9895/321

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 2655/354,9895/321

Given fractions are 2655/354,9895/321

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 2655,9895

Greatest Common Factor of Numerators i.e. GCF of 2655,9895 is 5 .

LCM of Denominators means LCM of 354,321 as per the given fractions.

LCM of 354,321 is 37878 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2655,9895

GCF of Fractions 2655/354,9895/321 is 5/37878

5 2655, 9895
531, 1979

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 2655,9895 By Matching Biggest Common Factor Method

Greatest Common Factor of 2655,9895 By Matching Biggest Common Factor Method

Factors of 2655

List of positive integer factors of 2655 that divides 2655 without a remainder.

1,3,5,9,15,45,59,177,295,531,885,2655

Factors of 9895

List of positive integer factors of 9895 that divides 9895 without a remainder.

1,5,1979,9895

Greatest Common Factor

We found the factors 2655,9895 . The biggest common factor number is the GCF number.
So the greatest common factor 2655,9895 is 5.

Lets's calculate LCM of 354,321

3 354, 321
118, 107

∴ So the LCM of the given numbers is 3 x 118 x 107 = 37878

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/37878

Therefore, the GCF of Fractions 2655/354,9895/321 is 5/37878

Least Common Multiple of 354,321 with GCF Formula

Least Common Multiple of 354,321 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 354,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,321) = 3

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

GCF(354,321) x common factors =3 x 1 = 3

LCM(354,321) = ( 354 × 321 ) / 3

LCM(354,321) = 113634 / 3

LCM(354,321) = 37878


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 2655/354, 9895/321

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 2655/354, 9895/321?

Answer: GCF of Numerators as per given numbers 2655/354, 9895/321 is

GCF of Numerators i.e. for 2655,9895 is 5

LCM of denominators i.e. for 354,321 is 37878.

Thus, GCF of Fractions is 5/37878.Finally, GCF of Fractions for 2655/354, 9895/321 is 5/37878.