Greatest Common Factor of 535/311, 212/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 535/311, 212/728

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 535/311,212/728

Given fractions are 535/311,212/728

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 535,212

Greatest Common Factor of Numerators i.e. GCF of 535,212 is 1 .

LCM of Denominators means LCM of 311,728 as per the given fractions.

LCM of 311,728 is 226408 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 535,212

GCF of Fractions 535/311,212/728 is 1/226408

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

Greatest Common Factor of 535,212 By Matching Biggest Common Factor Method

Greatest Common Factor of 535,212 By Matching Biggest Common Factor Method

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Greatest Common Factor

We found the factors 535,212 . The biggest common factor number is the GCF number.
So the greatest common factor 535,212 is 1.

Lets's calculate LCM of 311,728

Given numbers has no common factors except 1. So, there LCM is their product i.e 226408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/226408

Therefore, the GCF of Fractions 535/311,212/728 is 1/226408

Least Common Multiple of 311,728 with GCF Formula

Least Common Multiple of 311,728 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 311,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(311,728) = 1

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

GCF(311,728) x common factors =1 x 1 = 1

LCM(311,728) = ( 311 × 728 ) / 1

LCM(311,728) = 226408 / 1

LCM(311,728) = 226408


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 535/311, 212/728

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 535/311, 212/728?

Answer: GCF of Numerators as per given numbers 535/311, 212/728 is

GCF of Numerators i.e. for 535,212 is 1

LCM of denominators i.e. for 311,728 is 226408.

Thus, GCF of Fractions is 1/226408.Finally, GCF of Fractions for 535/311, 212/728 is 1/226408.