Greatest Common Factor of 428/60, 210/45, 578/90

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 428/60, 210/45, 578/90

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 428/60,210/45,578/90

Given fractions are 428/60,210/45,578/90

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 428,210,578

Greatest Common Factor of Numerators i.e. GCF of 428,210,578 is 2 .

LCM of Denominators means LCM of 60,45,90 as per the given fractions.

LCM of 60,45,90 is 180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 428,210,578

GCF of Fractions 428/60,210/45,578/90 is 2/180

2 428, 210, 578
214, 105, 289

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

Greatest Common Factor of 428,210,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 428,210,578 By Matching Biggest Common Factor Method

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 578

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

1,2,17,34,289,578

Greatest Common Factor

We found the factors 428,210,578 . The biggest common factor number is the GCF number.
So the greatest common factor 428,210,578 is 2.

Lets's calculate LCM of 60,45,90

2 60, 45, 90
3 30, 45, 45
3 10, 15, 15
5 10, 5, 5
2, 1, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 2 x 1 x 1 = 180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/180

Therefore, the GCF of Fractions 428/60,210/45,578/90 is 2/180

Least Common Multiple of 60,45,90 with GCF Formula

Least Common Multiple of 60,45,90 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 60,45,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,45,90) = 15

common factors(in case of two or more numbers have common factors) = 90

GCF(60,45,90) x common factors =15 x 90 = 1350

LCM(60,45,90) = ( 60 × 45 × 90 ) / 1350

LCM(60,45,90) = 243000 / 1350

LCM(60,45,90) = 180


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 428/60, 210/45, 578/90

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 428/60, 210/45, 578/90?

Answer: GCF of Numerators as per given numbers 428/60, 210/45, 578/90 is

GCF of Numerators i.e. for 428,210,578 is 2

LCM of denominators i.e. for 60,45,90 is 180.

Thus, GCF of Fractions is 2/180.Finally, GCF of Fractions for 428/60, 210/45, 578/90 is 2/180.