Greatest Common Factor of 2909/600, 3042/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2909/600, 3042/996

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 2909/600,3042/996

Given fractions are 2909/600,3042/996

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 2909,3042

Greatest Common Factor of Numerators i.e. GCF of 2909,3042 is 1 .

LCM of Denominators means LCM of 600,996 as per the given fractions.

LCM of 600,996 is 49800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2909,3042

GCF of Fractions 2909/600,3042/996 is 1/49800

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

Greatest Common Factor of 2909,3042 By Matching Biggest Common Factor Method

Greatest Common Factor of 2909,3042 By Matching Biggest Common Factor Method

Factors of 2909

List of positive integer factors of 2909 that divides 2909 without a remainder.

1,2909

Factors of 3042

List of positive integer factors of 3042 that divides 3042 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,169,234,338,507,1014,1521,3042

Greatest Common Factor

We found the factors 2909,3042 . The biggest common factor number is the GCF number.
So the greatest common factor 2909,3042 is 1.

Lets's calculate LCM of 600,996

2 600, 996
2 300, 498
3 150, 249
50, 83

∴ So the LCM of the given numbers is 2 x 2 x 3 x 50 x 83 = 49800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49800

Therefore, the GCF of Fractions 2909/600,3042/996 is 1/49800

Least Common Multiple of 600,996 with GCF Formula

Least Common Multiple of 600,996 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 600,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,996) = 12

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

GCF(600,996) x common factors =12 x 1 = 12

LCM(600,996) = ( 600 × 996 ) / 12

LCM(600,996) = 597600 / 12

LCM(600,996) = 49800


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 2909/600, 3042/996

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 2909/600, 3042/996?

Answer: GCF of Numerators as per given numbers 2909/600, 3042/996 is

GCF of Numerators i.e. for 2909,3042 is 1

LCM of denominators i.e. for 600,996 is 49800.

Thus, GCF of Fractions is 1/49800.Finally, GCF of Fractions for 2909/600, 3042/996 is 1/49800.