Greatest Common Factor of 80/562, 304/327, 966/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/562, 304/327, 966/226

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 80/562,304/327,966/226

Given fractions are 80/562,304/327,966/226

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 80,304,966

Greatest Common Factor of Numerators i.e. GCF of 80,304,966 is 2 .

LCM of Denominators means LCM of 562,327,226 as per the given fractions.

LCM of 562,327,226 is 20766462 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,304,966

GCF of Fractions 80/562,304/327,966/226 is 2/20766462

2 80, 304, 966
40, 152, 483

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

Greatest Common Factor of 80,304,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,304,966 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

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 80,304,966 . The biggest common factor number is the GCF number.
So the greatest common factor 80,304,966 is 2.

Lets's calculate LCM of 562,327,226

2 562, 327, 226
281, 327, 113

∴ So the LCM of the given numbers is 2 x 281 x 327 x 113 = 20766462

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/20766462

Therefore, the GCF of Fractions 80/562,304/327,966/226 is 2/20766462

Least Common Multiple of 562,327,226 with GCF Formula

Least Common Multiple of 562,327,226 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 562,327,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(562,327,226) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(562,327,226) x common factors =1 x 2 = 2

LCM(562,327,226) = ( 562 × 327 × 226 ) / 2

LCM(562,327,226) = 41532924 / 2

LCM(562,327,226) = 20766462


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 80/562, 304/327, 966/226

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 80/562, 304/327, 966/226?

Answer: GCF of Numerators as per given numbers 80/562, 304/327, 966/226 is

GCF of Numerators i.e. for 80,304,966 is 2

LCM of denominators i.e. for 562,327,226 is 20766462.

Thus, GCF of Fractions is 2/20766462.Finally, GCF of Fractions for 80/562, 304/327, 966/226 is 2/20766462.