Greatest Common Factor of 2440/305, 1683/1142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2440/305, 1683/1142

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 2440/305,1683/1142

Given fractions are 2440/305,1683/1142

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 2440,1683

Greatest Common Factor of Numerators i.e. GCF of 2440,1683 is 1 .

LCM of Denominators means LCM of 305,1142 as per the given fractions.

LCM of 305,1142 is 348310 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2440,1683

GCF of Fractions 2440/305,1683/1142 is 1/348310

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

Greatest Common Factor of 2440,1683 By Matching Biggest Common Factor Method

Greatest Common Factor of 2440,1683 By Matching Biggest Common Factor Method

Factors of 2440

List of positive integer factors of 2440 that divides 2440 without a remainder.

1,2,4,5,8,10,20,40,61,122,244,305,488,610,1220,2440

Factors of 1683

List of positive integer factors of 1683 that divides 1683 without a remainder.

1,3,9,11,17,33,51,99,153,187,561,1683

Greatest Common Factor

We found the factors 2440,1683 . The biggest common factor number is the GCF number.
So the greatest common factor 2440,1683 is 1.

Lets's calculate LCM of 305,1142

Given numbers has no common factors except 1. So, there LCM is their product i.e 348310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/348310

Therefore, the GCF of Fractions 2440/305,1683/1142 is 1/348310

Least Common Multiple of 305,1142 with GCF Formula

Least Common Multiple of 305,1142 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 305,1142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,1142) = 1

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

GCF(305,1142) x common factors =1 x 1 = 1

LCM(305,1142) = ( 305 × 1142 ) / 1

LCM(305,1142) = 348310 / 1

LCM(305,1142) = 348310


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 2440/305, 1683/1142

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 2440/305, 1683/1142?

Answer: GCF of Numerators as per given numbers 2440/305, 1683/1142 is

GCF of Numerators i.e. for 2440,1683 is 1

LCM of denominators i.e. for 305,1142 is 348310.

Thus, GCF of Fractions is 1/348310.Finally, GCF of Fractions for 2440/305, 1683/1142 is 1/348310.