Greatest Common Factor of 2946/89, 7806/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2946/89, 7806/313

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 2946/89,7806/313

Given fractions are 2946/89,7806/313

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 2946,7806

Greatest Common Factor of Numerators i.e. GCF of 2946,7806 is 6 .

LCM of Denominators means LCM of 89,313 as per the given fractions.

LCM of 89,313 is 27857 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2946,7806

GCF of Fractions 2946/89,7806/313 is 6/27857

2 2946, 7806
3 1473, 3903
491, 1301

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 2946,7806 By Matching Biggest Common Factor Method

Greatest Common Factor of 2946,7806 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 7806

List of positive integer factors of 7806 that divides 7806 without a remainder.

1,2,3,6,1301,2602,3903,7806

Greatest Common Factor

We found the factors 2946,7806 . The biggest common factor number is the GCF number.
So the greatest common factor 2946,7806 is 6.

Lets's calculate LCM of 89,313

Given numbers has no common factors except 1. So, there LCM is their product i.e 27857

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/27857

Therefore, the GCF of Fractions 2946/89,7806/313 is 6/27857

Least Common Multiple of 89,313 with GCF Formula

Least Common Multiple of 89,313 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 89,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,313) = 1

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

GCF(89,313) x common factors =1 x 1 = 1

LCM(89,313) = ( 89 × 313 ) / 1

LCM(89,313) = 27857 / 1

LCM(89,313) = 27857


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 2946/89, 7806/313

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 2946/89, 7806/313?

Answer: GCF of Numerators as per given numbers 2946/89, 7806/313 is

GCF of Numerators i.e. for 2946,7806 is 6

LCM of denominators i.e. for 89,313 is 27857.

Thus, GCF of Fractions is 6/27857.Finally, GCF of Fractions for 2946/89, 7806/313 is 6/27857.