Greatest Common Factor of 2885/342, 3436/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2885/342, 3436/744

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 2885/342,3436/744

Given fractions are 2885/342,3436/744

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 2885,3436

Greatest Common Factor of Numerators i.e. GCF of 2885,3436 is 1 .

LCM of Denominators means LCM of 342,744 as per the given fractions.

LCM of 342,744 is 42408 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2885,3436

GCF of Fractions 2885/342,3436/744 is 1/42408

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

Greatest Common Factor of 2885,3436 By Matching Biggest Common Factor Method

Greatest Common Factor of 2885,3436 By Matching Biggest Common Factor Method

Factors of 2885

List of positive integer factors of 2885 that divides 2885 without a remainder.

1,5,577,2885

Factors of 3436

List of positive integer factors of 3436 that divides 3436 without a remainder.

1,2,4,859,1718,3436

Greatest Common Factor

We found the factors 2885,3436 . The biggest common factor number is the GCF number.
So the greatest common factor 2885,3436 is 1.

Lets's calculate LCM of 342,744

2 342, 744
3 171, 372
57, 124

∴ So the LCM of the given numbers is 2 x 3 x 57 x 124 = 42408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42408

Therefore, the GCF of Fractions 2885/342,3436/744 is 1/42408

Least Common Multiple of 342,744 with GCF Formula

Least Common Multiple of 342,744 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 342,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,744) = 6

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

GCF(342,744) x common factors =6 x 1 = 6

LCM(342,744) = ( 342 × 744 ) / 6

LCM(342,744) = 254448 / 6

LCM(342,744) = 42408


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 2885/342, 3436/744

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 2885/342, 3436/744?

Answer: GCF of Numerators as per given numbers 2885/342, 3436/744 is

GCF of Numerators i.e. for 2885,3436 is 1

LCM of denominators i.e. for 342,744 is 42408.

Thus, GCF of Fractions is 1/42408.Finally, GCF of Fractions for 2885/342, 3436/744 is 1/42408.