Greatest Common Factor of 675/225, 1505/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 675/225, 1505/268

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 675/225,1505/268

Given fractions are 675/225,1505/268

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 675,1505

Greatest Common Factor of Numerators i.e. GCF of 675,1505 is 5 .

LCM of Denominators means LCM of 225,268 as per the given fractions.

LCM of 225,268 is 60300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 675,1505

GCF of Fractions 675/225,1505/268 is 5/60300

5 675, 1505
135, 301

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

Greatest Common Factor of 675,1505 By Matching Biggest Common Factor Method

Greatest Common Factor of 675,1505 By Matching Biggest Common Factor Method

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 1505

List of positive integer factors of 1505 that divides 1505 without a remainder.

1,5,7,35,43,215,301,1505

Greatest Common Factor

We found the factors 675,1505 . The biggest common factor number is the GCF number.
So the greatest common factor 675,1505 is 5.

Lets's calculate LCM of 225,268

Given numbers has no common factors except 1. So, there LCM is their product i.e 60300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/60300

Therefore, the GCF of Fractions 675/225,1505/268 is 5/60300

Least Common Multiple of 225,268 with GCF Formula

Least Common Multiple of 225,268 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 225,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(225,268) = 1

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

GCF(225,268) x common factors =1 x 1 = 1

LCM(225,268) = ( 225 × 268 ) / 1

LCM(225,268) = 60300 / 1

LCM(225,268) = 60300


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 675/225, 1505/268

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 675/225, 1505/268?

Answer: GCF of Numerators as per given numbers 675/225, 1505/268 is

GCF of Numerators i.e. for 675,1505 is 5

LCM of denominators i.e. for 225,268 is 60300.

Thus, GCF of Fractions is 5/60300.Finally, GCF of Fractions for 675/225, 1505/268 is 5/60300.