Greatest Common Factor of 270/65, 596/4278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 270/65, 596/4278

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 270/65,596/4278

Given fractions are 270/65,596/4278

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 270,596

Greatest Common Factor of Numerators i.e. GCF of 270,596 is 2 .

LCM of Denominators means LCM of 65,4278 as per the given fractions.

LCM of 65,4278 is 278070 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 270,596

GCF of Fractions 270/65,596/4278 is 2/278070

2 270, 596
135, 298

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

Greatest Common Factor of 270,596 By Matching Biggest Common Factor Method

Greatest Common Factor of 270,596 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 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Greatest Common Factor

We found the factors 270,596 . The biggest common factor number is the GCF number.
So the greatest common factor 270,596 is 2.

Lets's calculate LCM of 65,4278

Given numbers has no common factors except 1. So, there LCM is their product i.e 278070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/278070

Therefore, the GCF of Fractions 270/65,596/4278 is 2/278070

Least Common Multiple of 65,4278 with GCF Formula

Least Common Multiple of 65,4278 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 65,4278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,4278) = 1

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

GCF(65,4278) x common factors =1 x 1 = 1

LCM(65,4278) = ( 65 × 4278 ) / 1

LCM(65,4278) = 278070 / 1

LCM(65,4278) = 278070


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 270/65, 596/4278

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 270/65, 596/4278?

Answer: GCF of Numerators as per given numbers 270/65, 596/4278 is

GCF of Numerators i.e. for 270,596 is 2

LCM of denominators i.e. for 65,4278 is 278070.

Thus, GCF of Fractions is 2/278070.Finally, GCF of Fractions for 270/65, 596/4278 is 2/278070.