Greatest Common Factor of 944/83, 714/28, 990/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 944/83, 714/28, 990/204

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 944/83,714/28,990/204

Given fractions are 944/83,714/28,990/204

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 944,714,990

Greatest Common Factor of Numerators i.e. GCF of 944,714,990 is 2 .

LCM of Denominators means LCM of 83,28,204 as per the given fractions.

LCM of 83,28,204 is 118524 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 944,714,990

GCF of Fractions 944/83,714/28,990/204 is 2/118524

2 944, 714, 990
472, 357, 495

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

Greatest Common Factor of 944,714,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 944,714,990 By Matching Biggest Common Factor Method

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 944,714,990 . The biggest common factor number is the GCF number.
So the greatest common factor 944,714,990 is 2.

Lets's calculate LCM of 83,28,204

2 83, 28, 204
2 83, 14, 102
83, 7, 51

∴ So the LCM of the given numbers is 2 x 2 x 83 x 7 x 51 = 118524

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/118524

Therefore, the GCF of Fractions 944/83,714/28,990/204 is 2/118524

Least Common Multiple of 83,28,204 with GCF Formula

Least Common Multiple of 83,28,204 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 83,28,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,28,204) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(83,28,204) x common factors =1 x 4 = 4

LCM(83,28,204) = ( 83 × 28 × 204 ) / 4

LCM(83,28,204) = 474096 / 4

LCM(83,28,204) = 118524


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 944/83, 714/28, 990/204

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 944/83, 714/28, 990/204?

Answer: GCF of Numerators as per given numbers 944/83, 714/28, 990/204 is

GCF of Numerators i.e. for 944,714,990 is 2

LCM of denominators i.e. for 83,28,204 is 118524.

Thus, GCF of Fractions is 2/118524.Finally, GCF of Fractions for 944/83, 714/28, 990/204 is 2/118524.