Greatest Common Factor of 573/55, 816/55, 180/325

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 573/55, 816/55, 180/325

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 573/55,816/55,180/325

Given fractions are 573/55,816/55,180/325

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 573,816,180

Greatest Common Factor of Numerators i.e. GCF of 573,816,180 is 3 .

LCM of Denominators means LCM of 55,55,325 as per the given fractions.

LCM of 55,55,325 is 3575 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 573,816,180

GCF of Fractions 573/55,816/55,180/325 is 3/3575

3 573, 816, 180
191, 272, 60

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 573,816,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 573,816,180 By Matching Biggest Common Factor Method

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 573,816,180 . The biggest common factor number is the GCF number.
So the greatest common factor 573,816,180 is 3.

Lets's calculate LCM of 55,55,325

5 55, 55, 325
11 11, 11, 65
1, 1, 65

∴ So the LCM of the given numbers is 5 x 11 x 1 x 1 x 65 = 3575

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3575

Therefore, the GCF of Fractions 573/55,816/55,180/325 is 3/3575

Least Common Multiple of 55,55,325 with GCF Formula

Least Common Multiple of 55,55,325 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 55,55,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,55,325) = 5

common factors(in case of two or more numbers have common factors) = 55

GCF(55,55,325) x common factors =5 x 55 = 275

LCM(55,55,325) = ( 55 × 55 × 325 ) / 275

LCM(55,55,325) = 983125 / 275

LCM(55,55,325) = 3575


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 573/55, 816/55, 180/325

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 573/55, 816/55, 180/325?

Answer: GCF of Numerators as per given numbers 573/55, 816/55, 180/325 is

GCF of Numerators i.e. for 573,816,180 is 3

LCM of denominators i.e. for 55,55,325 is 3575.

Thus, GCF of Fractions is 3/3575.Finally, GCF of Fractions for 573/55, 816/55, 180/325 is 3/3575.