Greatest Common Factor of 2390/270, 3663/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2390/270, 3663/322

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 2390/270,3663/322

Given fractions are 2390/270,3663/322

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 2390,3663

Greatest Common Factor of Numerators i.e. GCF of 2390,3663 is 1 .

LCM of Denominators means LCM of 270,322 as per the given fractions.

LCM of 270,322 is 43470 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2390,3663

GCF of Fractions 2390/270,3663/322 is 1/43470

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2390,3663 By Matching Biggest Common Factor Method

Greatest Common Factor of 2390,3663 By Matching Biggest Common Factor Method

Factors of 2390

List of positive integer factors of 2390 that divides 2390 without a remainder.

1,2,5,10,239,478,1195,2390

Factors of 3663

List of positive integer factors of 3663 that divides 3663 without a remainder.

1,3,9,11,33,37,99,111,333,407,1221,3663

Greatest Common Factor

We found the factors 2390,3663 . The biggest common factor number is the GCF number.
So the greatest common factor 2390,3663 is 1.

Lets's calculate LCM of 270,322

2 270, 322
135, 161

∴ So the LCM of the given numbers is 2 x 135 x 161 = 43470

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43470

Therefore, the GCF of Fractions 2390/270,3663/322 is 1/43470

Least Common Multiple of 270,322 with GCF Formula

Least Common Multiple of 270,322 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 270,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,322) = 2

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

GCF(270,322) x common factors =2 x 1 = 2

LCM(270,322) = ( 270 × 322 ) / 2

LCM(270,322) = 86940 / 2

LCM(270,322) = 43470


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 2390/270, 3663/322

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 2390/270, 3663/322?

Answer: GCF of Numerators as per given numbers 2390/270, 3663/322 is

GCF of Numerators i.e. for 2390,3663 is 1

LCM of denominators i.e. for 270,322 is 43470.

Thus, GCF of Fractions is 1/43470.Finally, GCF of Fractions for 2390/270, 3663/322 is 1/43470.