Greatest Common Factor of 2946/12, 3368/943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2946/12, 3368/943

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 2946/12,3368/943

Given fractions are 2946/12,3368/943

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 2946,3368

Greatest Common Factor of Numerators i.e. GCF of 2946,3368 is 2 .

LCM of Denominators means LCM of 12,943 as per the given fractions.

LCM of 12,943 is 11316 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2946,3368

GCF of Fractions 2946/12,3368/943 is 2/11316

2 2946, 3368
1473, 1684

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

Greatest Common Factor of 2946,3368 By Matching Biggest Common Factor Method

Greatest Common Factor of 2946,3368 By Matching Biggest Common Factor Method

Factors of 2946

List of positive integer factors of 2946 that divides 2946 without a remainder.

1,2,3,6,491,982,1473,2946

Factors of 3368

List of positive integer factors of 3368 that divides 3368 without a remainder.

1,2,4,8,421,842,1684,3368

Greatest Common Factor

We found the factors 2946,3368 . The biggest common factor number is the GCF number.
So the greatest common factor 2946,3368 is 2.

Lets's calculate LCM of 12,943

Given numbers has no common factors except 1. So, there LCM is their product i.e 11316

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11316

Therefore, the GCF of Fractions 2946/12,3368/943 is 2/11316

Least Common Multiple of 12,943 with GCF Formula

Least Common Multiple of 12,943 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 12,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,943) = 1

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

GCF(12,943) x common factors =1 x 1 = 1

LCM(12,943) = ( 12 × 943 ) / 1

LCM(12,943) = 11316 / 1

LCM(12,943) = 11316


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 2946/12, 3368/943

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 2946/12, 3368/943?

Answer: GCF of Numerators as per given numbers 2946/12, 3368/943 is

GCF of Numerators i.e. for 2946,3368 is 2

LCM of denominators i.e. for 12,943 is 11316.

Thus, GCF of Fractions is 2/11316.Finally, GCF of Fractions for 2946/12, 3368/943 is 2/11316.