Greatest Common Factor of 2946/984, 3799/983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2946/984, 3799/983

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 2946/984,3799/983

Given fractions are 2946/984,3799/983

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 2946,3799

Greatest Common Factor of Numerators i.e. GCF of 2946,3799 is 1 .

LCM of Denominators means LCM of 984,983 as per the given fractions.

LCM of 984,983 is 967272 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2946,3799

GCF of Fractions 2946/984,3799/983 is 1/967272

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

Greatest Common Factor of 2946,3799 By Matching Biggest Common Factor Method

Greatest Common Factor of 2946,3799 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 3799

List of positive integer factors of 3799 that divides 3799 without a remainder.

1,29,131,3799

Greatest Common Factor

We found the factors 2946,3799 . The biggest common factor number is the GCF number.
So the greatest common factor 2946,3799 is 1.

Lets's calculate LCM of 984,983

Given numbers has no common factors except 1. So, there LCM is their product i.e 967272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/967272

Therefore, the GCF of Fractions 2946/984,3799/983 is 1/967272

Least Common Multiple of 984,983 with GCF Formula

Least Common Multiple of 984,983 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 984,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,983) = 1

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

GCF(984,983) x common factors =1 x 1 = 1

LCM(984,983) = ( 984 × 983 ) / 1

LCM(984,983) = 967272 / 1

LCM(984,983) = 967272


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 2946/984, 3799/983

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 2946/984, 3799/983?

Answer: GCF of Numerators as per given numbers 2946/984, 3799/983 is

GCF of Numerators i.e. for 2946,3799 is 1

LCM of denominators i.e. for 984,983 is 967272.

Thus, GCF of Fractions is 1/967272.Finally, GCF of Fractions for 2946/984, 3799/983 is 1/967272.