Greatest Common Factor of 475/845, 7209/899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 475/845, 7209/899

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 475/845,7209/899

Given fractions are 475/845,7209/899

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 475,7209

Greatest Common Factor of Numerators i.e. GCF of 475,7209 is 1 .

LCM of Denominators means LCM of 845,899 as per the given fractions.

LCM of 845,899 is 759655 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 475,7209

GCF of Fractions 475/845,7209/899 is 1/759655

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

Greatest Common Factor of 475,7209 By Matching Biggest Common Factor Method

Greatest Common Factor of 475,7209 By Matching Biggest Common Factor Method

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Factors of 7209

List of positive integer factors of 7209 that divides 7209 without a remainder.

1,3,9,27,81,89,267,801,2403,7209

Greatest Common Factor

We found the factors 475,7209 . The biggest common factor number is the GCF number.
So the greatest common factor 475,7209 is 1.


Lets's calculate LCM of 845,899

Given numbers has no common factors except 1. So, there LCM is their product i.e 759655

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/759655

Therefore, the GCF of Fractions 475/845,7209/899 is 1/759655

Least Common Multiple of 845,899 with GCF Formula

Least Common Multiple of 845,899 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 845,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(845,899) = 1

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

GCF(845,899) x common factors =1 x 1 = 1

LCM(845,899) = ( 845 × 899 ) / 1

LCM(845,899) = 759655 / 1

LCM(845,899) = 759655


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 475/845, 7209/899

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 475/845, 7209/899?

Answer: GCF of Numerators as per given numbers 475/845, 7209/899 is

GCF of Numerators i.e. for 475,7209 is 1

LCM of denominators i.e. for 845,899 is 759655.

Thus, GCF of Fractions is 1/759655.Finally, GCF of Fractions for 475/845, 7209/899 is 1/759655.