Greatest Common Factor of 7275/75, 1193/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7275/75, 1193/300

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 7275/75,1193/300

Given fractions are 7275/75,1193/300

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 7275,1193

Greatest Common Factor of Numerators i.e. GCF of 7275,1193 is 1 .

LCM of Denominators means LCM of 75,300 as per the given fractions.

LCM of 75,300 is 300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7275,1193

GCF of Fractions 7275/75,1193/300 is 1/300

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

Greatest Common Factor of 7275,1193 By Matching Biggest Common Factor Method

Greatest Common Factor of 7275,1193 By Matching Biggest Common Factor Method

Factors of 7275

List of positive integer factors of 7275 that divides 7275 without a remainder.

1,3,5,15,25,75,97,291,485,1455,2425,7275

Factors of 1193

List of positive integer factors of 1193 that divides 1193 without a remainder.

1,1193

Greatest Common Factor

We found the factors 7275,1193 . The biggest common factor number is the GCF number.
So the greatest common factor 7275,1193 is 1.

Lets's calculate LCM of 75,300

3 75, 300
5 25, 100
5 5, 20
1, 4

∴ So the LCM of the given numbers is 3 x 5 x 5 x 1 x 4 = 300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/300

Therefore, the GCF of Fractions 7275/75,1193/300 is 1/300

Least Common Multiple of 75,300 with GCF Formula

Least Common Multiple of 75,300 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 75,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,300) = 75

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

GCF(75,300) x common factors =75 x 1 = 75

LCM(75,300) = ( 75 × 300 ) / 75

LCM(75,300) = 22500 / 75

LCM(75,300) = 300


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 7275/75, 1193/300

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 7275/75, 1193/300?

Answer: GCF of Numerators as per given numbers 7275/75, 1193/300 is

GCF of Numerators i.e. for 7275,1193 is 1

LCM of denominators i.e. for 75,300 is 300.

Thus, GCF of Fractions is 1/300.Finally, GCF of Fractions for 7275/75, 1193/300 is 1/300.