Greatest Common Factor of 388/59, 270/72, 419/739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 388/59, 270/72, 419/739

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 388/59,270/72,419/739

Given fractions are 388/59,270/72,419/739

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 388,270,419

Greatest Common Factor of Numerators i.e. GCF of 388,270,419 is 1 .

LCM of Denominators means LCM of 59,72,739 as per the given fractions.

LCM of 59,72,739 is 3139272 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 388,270,419

GCF of Fractions 388/59,270/72,419/739 is 1/3139272

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

Greatest Common Factor of 388,270,419 By Matching Biggest Common Factor Method

Greatest Common Factor of 388,270,419 By Matching Biggest Common Factor Method

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

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 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Greatest Common Factor

We found the factors 388,270,419 . The biggest common factor number is the GCF number.
So the greatest common factor 388,270,419 is 1.

Lets's calculate LCM of 59,72,739

Given numbers has no common factors except 1. So, there LCM is their product i.e 3139272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3139272

Therefore, the GCF of Fractions 388/59,270/72,419/739 is 1/3139272

Least Common Multiple of 59,72,739 with GCF Formula

Least Common Multiple of 59,72,739 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 59,72,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,72,739) = 1

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

GCF(59,72,739) x common factors =1 x 1 = 1

LCM(59,72,739) = ( 59 × 72 × 739 ) / 1

LCM(59,72,739) = 3139272 / 1

LCM(59,72,739) = 3139272


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 388/59, 270/72, 419/739

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 388/59, 270/72, 419/739?

Answer: GCF of Numerators as per given numbers 388/59, 270/72, 419/739 is

GCF of Numerators i.e. for 388,270,419 is 1

LCM of denominators i.e. for 59,72,739 is 3139272.

Thus, GCF of Fractions is 1/3139272.Finally, GCF of Fractions for 388/59, 270/72, 419/739 is 1/3139272.