Greatest Common Factor of 580/13, 4420/670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 580/13, 4420/670

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 580/13,4420/670

Given fractions are 580/13,4420/670

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 580,4420

Greatest Common Factor of Numerators i.e. GCF of 580,4420 is 20 .

LCM of Denominators means LCM of 13,670 as per the given fractions.

LCM of 13,670 is 8710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 580,4420

GCF of Fractions 580/13,4420/670 is 20/8710

2 580, 4420
2 290, 2210
5 145, 1105
29, 221

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 580,4420 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,4420 By Matching Biggest Common Factor Method

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

Factors of 4420

List of positive integer factors of 4420 that divides 4420 without a remainder.

1,2,4,5,10,13,17,20,26,34,52,65,68,85,130,170,221,260,340,442,884,1105,2210,4420

Greatest Common Factor

We found the factors 580,4420 . The biggest common factor number is the GCF number.
So the greatest common factor 580,4420 is 20.

Lets's calculate LCM of 13,670

Given numbers has no common factors except 1. So, there LCM is their product i.e 8710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/8710

Therefore, the GCF of Fractions 580/13,4420/670 is 20/8710

Least Common Multiple of 13,670 with GCF Formula

Least Common Multiple of 13,670 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 13,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,670) = 1

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

GCF(13,670) x common factors =1 x 1 = 1

LCM(13,670) = ( 13 × 670 ) / 1

LCM(13,670) = 8710 / 1

LCM(13,670) = 8710


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 580/13, 4420/670

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 580/13, 4420/670?

Answer: GCF of Numerators as per given numbers 580/13, 4420/670 is

GCF of Numerators i.e. for 580,4420 is 20

LCM of denominators i.e. for 13,670 is 8710.

Thus, GCF of Fractions is 20/8710.Finally, GCF of Fractions for 580/13, 4420/670 is 20/8710.