Greatest Common Factor of 270/313, 589/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 270/313, 589/416

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 270/313,589/416

Given fractions are 270/313,589/416

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 270,589

Greatest Common Factor of Numerators i.e. GCF of 270,589 is 1 .

LCM of Denominators means LCM of 313,416 as per the given fractions.

LCM of 313,416 is 130208 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 270,589

GCF of Fractions 270/313,589/416 is 1/130208

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 270,589 By Matching Biggest Common Factor Method

Greatest Common Factor of 270,589 By Matching Biggest Common Factor Method

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Greatest Common Factor

We found the factors 270,589 . The biggest common factor number is the GCF number.
So the greatest common factor 270,589 is 1.

Lets's calculate LCM of 313,416

Given numbers has no common factors except 1. So, there LCM is their product i.e 130208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130208

Therefore, the GCF of Fractions 270/313,589/416 is 1/130208

Least Common Multiple of 313,416 with GCF Formula

Least Common Multiple of 313,416 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 313,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(313,416) = 1

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

GCF(313,416) x common factors =1 x 1 = 1

LCM(313,416) = ( 313 × 416 ) / 1

LCM(313,416) = 130208 / 1

LCM(313,416) = 130208


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 270/313, 589/416

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 270/313, 589/416?

Answer: GCF of Numerators as per given numbers 270/313, 589/416 is

GCF of Numerators i.e. for 270,589 is 1

LCM of denominators i.e. for 313,416 is 130208.

Thus, GCF of Fractions is 1/130208.Finally, GCF of Fractions for 270/313, 589/416 is 1/130208.