Greatest Common Factor of 576/55, 578/20, 314/589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 576/55, 578/20, 314/589

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 576/55,578/20,314/589

Given fractions are 576/55,578/20,314/589

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 576,578,314

Greatest Common Factor of Numerators i.e. GCF of 576,578,314 is 2 .

LCM of Denominators means LCM of 55,20,589 as per the given fractions.

LCM of 55,20,589 is 129580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 576,578,314

GCF of Fractions 576/55,578/20,314/589 is 2/129580

2 576, 578, 314
288, 289, 157

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

Greatest Common Factor of 576,578,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 576,578,314 By Matching Biggest Common Factor Method

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 576,578,314 . The biggest common factor number is the GCF number.
So the greatest common factor 576,578,314 is 2.

Lets's calculate LCM of 55,20,589

5 55, 20, 589
11, 4, 589

∴ So the LCM of the given numbers is 5 x 11 x 4 x 589 = 129580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/129580

Therefore, the GCF of Fractions 576/55,578/20,314/589 is 2/129580

Least Common Multiple of 55,20,589 with GCF Formula

Least Common Multiple of 55,20,589 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 55,20,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,20,589) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(55,20,589) x common factors =1 x 5 = 5

LCM(55,20,589) = ( 55 × 20 × 589 ) / 5

LCM(55,20,589) = 647900 / 5

LCM(55,20,589) = 129580


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 576/55, 578/20, 314/589

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 576/55, 578/20, 314/589?

Answer: GCF of Numerators as per given numbers 576/55, 578/20, 314/589 is

GCF of Numerators i.e. for 576,578,314 is 2

LCM of denominators i.e. for 55,20,589 is 129580.

Thus, GCF of Fractions is 2/129580.Finally, GCF of Fractions for 576/55, 578/20, 314/589 is 2/129580.