Greatest Common Factor of 90/582, 820/189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 90/582, 820/189

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 90/582,820/189

Given fractions are 90/582,820/189

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 90,820

Greatest Common Factor of Numerators i.e. GCF of 90,820 is 10 .

LCM of Denominators means LCM of 582,189 as per the given fractions.

LCM of 582,189 is 36666 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 90,820

GCF of Fractions 90/582,820/189 is 10/36666

2 90, 820
5 45, 410
9, 82

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 90,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,820 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 90,820 . The biggest common factor number is the GCF number.
So the greatest common factor 90,820 is 10.

Lets's calculate LCM of 582,189

3 582, 189
194, 63

∴ So the LCM of the given numbers is 3 x 194 x 63 = 36666

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/36666

Therefore, the GCF of Fractions 90/582,820/189 is 10/36666

Least Common Multiple of 582,189 with GCF Formula

Least Common Multiple of 582,189 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 582,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(582,189) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(582,189) x common factors =3 x 1 = 3

LCM(582,189) = ( 582 × 189 ) / 3

LCM(582,189) = 109998 / 3

LCM(582,189) = 36666


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 90/582, 820/189

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 90/582, 820/189?

Answer: GCF of Numerators as per given numbers 90/582, 820/189 is

GCF of Numerators i.e. for 90,820 is 10

LCM of denominators i.e. for 582,189 is 36666.

Thus, GCF of Fractions is 10/36666.Finally, GCF of Fractions for 90/582, 820/189 is 10/36666.