Greatest Common Factor of 287/45, 966/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 287/45, 966/994

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 287/45,966/994

Given fractions are 287/45,966/994

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 287,966

Greatest Common Factor of Numerators i.e. GCF of 287,966 is 7 .

LCM of Denominators means LCM of 45,994 as per the given fractions.

LCM of 45,994 is 44730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 287,966

GCF of Fractions 287/45,966/994 is 7/44730

7 287, 966
41, 138

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 287,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 287,966 By Matching Biggest Common Factor Method

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 287,966 . The biggest common factor number is the GCF number.
So the greatest common factor 287,966 is 7.

Lets's calculate LCM of 45,994

Given numbers has no common factors except 1. So, there LCM is their product i.e 44730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/44730

Therefore, the GCF of Fractions 287/45,966/994 is 7/44730

Least Common Multiple of 45,994 with GCF Formula

Least Common Multiple of 45,994 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 45,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,994) = 1

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

GCF(45,994) x common factors =1 x 1 = 1

LCM(45,994) = ( 45 × 994 ) / 1

LCM(45,994) = 44730 / 1

LCM(45,994) = 44730


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 287/45, 966/994

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 287/45, 966/994?

Answer: GCF of Numerators as per given numbers 287/45, 966/994 is

GCF of Numerators i.e. for 287,966 is 7

LCM of denominators i.e. for 45,994 is 44730.

Thus, GCF of Fractions is 7/44730.Finally, GCF of Fractions for 287/45, 966/994 is 7/44730.