Greatest Common Factor of 897/352, 5819/789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 897/352, 5819/789

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 897/352,5819/789

Given fractions are 897/352,5819/789

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 897,5819

Greatest Common Factor of Numerators i.e. GCF of 897,5819 is 23 .

LCM of Denominators means LCM of 352,789 as per the given fractions.

LCM of 352,789 is 277728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 897,5819

GCF of Fractions 897/352,5819/789 is 23/277728

23 897, 5819
39, 253

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 897,5819 By Matching Biggest Common Factor Method

Greatest Common Factor of 897,5819 By Matching Biggest Common Factor Method

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Factors of 5819

List of positive integer factors of 5819 that divides 5819 without a remainder.

1,11,23,253,529,5819

Greatest Common Factor

We found the factors 897,5819 . The biggest common factor number is the GCF number.
So the greatest common factor 897,5819 is 23.

Lets's calculate LCM of 352,789

Given numbers has no common factors except 1. So, there LCM is their product i.e 277728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/277728

Therefore, the GCF of Fractions 897/352,5819/789 is 23/277728

Least Common Multiple of 352,789 with GCF Formula

Least Common Multiple of 352,789 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 352,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(352,789) = 1

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

GCF(352,789) x common factors =1 x 1 = 1

LCM(352,789) = ( 352 × 789 ) / 1

LCM(352,789) = 277728 / 1

LCM(352,789) = 277728


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 897/352, 5819/789

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 897/352, 5819/789?

Answer: GCF of Numerators as per given numbers 897/352, 5819/789 is

GCF of Numerators i.e. for 897,5819 is 23

LCM of denominators i.e. for 352,789 is 277728.

Thus, GCF of Fractions is 23/277728.Finally, GCF of Fractions for 897/352, 5819/789 is 23/277728.