Greatest Common Factor of 2944/29, 9974/273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2944/29, 9974/273

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 2944/29,9974/273

Given fractions are 2944/29,9974/273

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 2944,9974

Greatest Common Factor of Numerators i.e. GCF of 2944,9974 is 2 .

LCM of Denominators means LCM of 29,273 as per the given fractions.

LCM of 29,273 is 7917 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2944,9974

GCF of Fractions 2944/29,9974/273 is 2/7917

2 2944, 9974
1472, 4987

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2944,9974 By Matching Biggest Common Factor Method

Greatest Common Factor of 2944,9974 By Matching Biggest Common Factor Method

Factors of 2944

List of positive integer factors of 2944 that divides 2944 without a remainder.

1,2,4,8,16,23,32,46,64,92,128,184,368,736,1472,2944

Factors of 9974

List of positive integer factors of 9974 that divides 9974 without a remainder.

1,2,4987,9974

Greatest Common Factor

We found the factors 2944,9974 . The biggest common factor number is the GCF number.
So the greatest common factor 2944,9974 is 2.

Lets's calculate LCM of 29,273

Given numbers has no common factors except 1. So, there LCM is their product i.e 7917

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7917

Therefore, the GCF of Fractions 2944/29,9974/273 is 2/7917

Least Common Multiple of 29,273 with GCF Formula

Least Common Multiple of 29,273 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 29,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,273) = 1

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

GCF(29,273) x common factors =1 x 1 = 1

LCM(29,273) = ( 29 × 273 ) / 1

LCM(29,273) = 7917 / 1

LCM(29,273) = 7917


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 2944/29, 9974/273

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 2944/29, 9974/273?

Answer: GCF of Numerators as per given numbers 2944/29, 9974/273 is

GCF of Numerators i.e. for 2944,9974 is 2

LCM of denominators i.e. for 29,273 is 7917.

Thus, GCF of Fractions is 2/7917.Finally, GCF of Fractions for 2944/29, 9974/273 is 2/7917.