Greatest Common Factor of 570/12, 580/409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 570/12, 580/409

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 570/12,580/409

Given fractions are 570/12,580/409

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 570,580

Greatest Common Factor of Numerators i.e. GCF of 570,580 is 10 .

LCM of Denominators means LCM of 12,409 as per the given fractions.

LCM of 12,409 is 4908 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 570,580

GCF of Fractions 570/12,580/409 is 10/4908

2 570, 580
5 285, 290
57, 58

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

Greatest Common Factor of 570,580 By Matching Biggest Common Factor Method

Greatest Common Factor of 570,580 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 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Greatest Common Factor

We found the factors 570,580 . The biggest common factor number is the GCF number.
So the greatest common factor 570,580 is 10.

Lets's calculate LCM of 12,409

Given numbers has no common factors except 1. So, there LCM is their product i.e 4908

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/4908

Therefore, the GCF of Fractions 570/12,580/409 is 10/4908

Least Common Multiple of 12,409 with GCF Formula

Least Common Multiple of 12,409 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 12,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,409) = 1

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

GCF(12,409) x common factors =1 x 1 = 1

LCM(12,409) = ( 12 × 409 ) / 1

LCM(12,409) = 4908 / 1

LCM(12,409) = 4908


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 570/12, 580/409

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 570/12, 580/409?

Answer: GCF of Numerators as per given numbers 570/12, 580/409 is

GCF of Numerators i.e. for 570,580 is 10

LCM of denominators i.e. for 12,409 is 4908.

Thus, GCF of Fractions is 10/4908.Finally, GCF of Fractions for 570/12, 580/409 is 10/4908.