Greatest Common Factor of 990/409, 286/644, 226/529

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 990/409, 286/644, 226/529

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 990/409,286/644,226/529

Given fractions are 990/409,286/644,226/529

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 990,286,226

Greatest Common Factor of Numerators i.e. GCF of 990,286,226 is 2 .

LCM of Denominators means LCM of 409,644,529 as per the given fractions.

LCM of 409,644,529 is 6058108 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 990,286,226

GCF of Fractions 990/409,286/644,226/529 is 2/6058108

2 990, 286, 226
495, 143, 113

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

Greatest Common Factor of 990,286,226 By Matching Biggest Common Factor Method

Greatest Common Factor of 990,286,226 By Matching Biggest Common Factor Method

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

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Greatest Common Factor

We found the factors 990,286,226 . The biggest common factor number is the GCF number.
So the greatest common factor 990,286,226 is 2.

Lets's calculate LCM of 409,644,529

23 409, 644, 529
409, 28, 23

∴ So the LCM of the given numbers is 23 x 409 x 28 x 23 = 6058108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6058108

Therefore, the GCF of Fractions 990/409,286/644,226/529 is 2/6058108

Least Common Multiple of 409,644,529 with GCF Formula

Least Common Multiple of 409,644,529 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 409,644,529 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(409,644,529) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(409,644,529) x common factors =1 x 23 = 23

LCM(409,644,529) = ( 409 × 644 × 529 ) / 23

LCM(409,644,529) = 139336484 / 23

LCM(409,644,529) = 6058108


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 990/409, 286/644, 226/529

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 990/409, 286/644, 226/529?

Answer: GCF of Numerators as per given numbers 990/409, 286/644, 226/529 is

GCF of Numerators i.e. for 990,286,226 is 2

LCM of denominators i.e. for 409,644,529 is 6058108.

Thus, GCF of Fractions is 2/6058108.Finally, GCF of Fractions for 990/409, 286/644, 226/529 is 2/6058108.