Greatest Common Factor of 570/89, 414/30, 494/39

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 570/89, 414/30, 494/39

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 570/89,414/30,494/39

Given fractions are 570/89,414/30,494/39

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 570,414,494

Greatest Common Factor of Numerators i.e. GCF of 570,414,494 is 2 .

LCM of Denominators means LCM of 89,30,39 as per the given fractions.

LCM of 89,30,39 is 34710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 570,414,494

GCF of Fractions 570/89,414/30,494/39 is 2/34710

2 570, 414, 494
285, 207, 247

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

Greatest Common Factor of 570,414,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 570,414,494 By Matching Biggest Common Factor Method

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 570,414,494 . The biggest common factor number is the GCF number.
So the greatest common factor 570,414,494 is 2.

Lets's calculate LCM of 89,30,39

3 89, 30, 39
89, 10, 13

∴ So the LCM of the given numbers is 3 x 89 x 10 x 13 = 34710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/34710

Therefore, the GCF of Fractions 570/89,414/30,494/39 is 2/34710

Least Common Multiple of 89,30,39 with GCF Formula

Least Common Multiple of 89,30,39 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 89,30,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,30,39) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(89,30,39) x common factors =1 x 3 = 3

LCM(89,30,39) = ( 89 × 30 × 39 ) / 3

LCM(89,30,39) = 104130 / 3

LCM(89,30,39) = 34710


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 570/89, 414/30, 494/39

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 570/89, 414/30, 494/39?

Answer: GCF of Numerators as per given numbers 570/89, 414/30, 494/39 is

GCF of Numerators i.e. for 570,414,494 is 2

LCM of denominators i.e. for 89,30,39 is 34710.

Thus, GCF of Fractions is 2/34710.Finally, GCF of Fractions for 570/89, 414/30, 494/39 is 2/34710.