Greatest Common Factor of 125/209, 215/183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 125/209, 215/183

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 125/209,215/183

Given fractions are 125/209,215/183

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 125,215

Greatest Common Factor of Numerators i.e. GCF of 125,215 is 5 .

LCM of Denominators means LCM of 209,183 as per the given fractions.

LCM of 209,183 is 38247 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 125,215

GCF of Fractions 125/209,215/183 is 5/38247

5 125, 215
25, 43

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 125,215 By Matching Biggest Common Factor Method

Greatest Common Factor of 125,215 By Matching Biggest Common Factor Method

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Greatest Common Factor

We found the factors 125,215 . The biggest common factor number is the GCF number.
So the greatest common factor 125,215 is 5.

Lets's calculate LCM of 209,183

Given numbers has no common factors except 1. So, there LCM is their product i.e 38247

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/38247

Therefore, the GCF of Fractions 125/209,215/183 is 5/38247

Least Common Multiple of 209,183 with GCF Formula

Least Common Multiple of 209,183 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 209,183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(209,183) = 1

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

GCF(209,183) x common factors =1 x 1 = 1

LCM(209,183) = ( 209 × 183 ) / 1

LCM(209,183) = 38247 / 1

LCM(209,183) = 38247


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 125/209, 215/183

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 125/209, 215/183?

Answer: GCF of Numerators as per given numbers 125/209, 215/183 is

GCF of Numerators i.e. for 125,215 is 5

LCM of denominators i.e. for 209,183 is 38247.

Thus, GCF of Fractions is 5/38247.Finally, GCF of Fractions for 125/209, 215/183 is 5/38247.