Greatest Common Factor of 994/717, 2044/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 994/717, 2044/366

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 994/717,2044/366

Given fractions are 994/717,2044/366

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 994,2044

Greatest Common Factor of Numerators i.e. GCF of 994,2044 is 14 .

LCM of Denominators means LCM of 717,366 as per the given fractions.

LCM of 717,366 is 87474 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 994,2044

GCF of Fractions 994/717,2044/366 is 14/87474

2 994, 2044
7 497, 1022
71, 146

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 994,2044 By Matching Biggest Common Factor Method

Greatest Common Factor of 994,2044 By Matching Biggest Common Factor Method

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Factors of 2044

List of positive integer factors of 2044 that divides 2044 without a remainder.

1,2,4,7,14,28,73,146,292,511,1022,2044

Greatest Common Factor

We found the factors 994,2044 . The biggest common factor number is the GCF number.
So the greatest common factor 994,2044 is 14.

Lets's calculate LCM of 717,366

3 717, 366
239, 122

∴ So the LCM of the given numbers is 3 x 239 x 122 = 87474

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/87474

Therefore, the GCF of Fractions 994/717,2044/366 is 14/87474

Least Common Multiple of 717,366 with GCF Formula

Least Common Multiple of 717,366 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 717,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(717,366) = 3

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

GCF(717,366) x common factors =3 x 1 = 3

LCM(717,366) = ( 717 × 366 ) / 3

LCM(717,366) = 262422 / 3

LCM(717,366) = 87474


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 994/717, 2044/366

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 994/717, 2044/366?

Answer: GCF of Numerators as per given numbers 994/717, 2044/366 is

GCF of Numerators i.e. for 994,2044 is 14

LCM of denominators i.e. for 717,366 is 87474.

Thus, GCF of Fractions is 14/87474.Finally, GCF of Fractions for 994/717, 2044/366 is 14/87474.