Greatest Common Factor of 715/300, 9182/502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 715/300, 9182/502

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 715/300,9182/502

Given fractions are 715/300,9182/502

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 715,9182

Greatest Common Factor of Numerators i.e. GCF of 715,9182 is 1 .

LCM of Denominators means LCM of 300,502 as per the given fractions.

LCM of 300,502 is 75300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 715,9182

GCF of Fractions 715/300,9182/502 is 1/75300

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

Greatest Common Factor of 715,9182 By Matching Biggest Common Factor Method

Greatest Common Factor of 715,9182 By Matching Biggest Common Factor Method

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 9182

List of positive integer factors of 9182 that divides 9182 without a remainder.

1,2,4591,9182

Greatest Common Factor

We found the factors 715,9182 . The biggest common factor number is the GCF number.
So the greatest common factor 715,9182 is 1.

Lets's calculate LCM of 300,502

2 300, 502
150, 251

∴ So the LCM of the given numbers is 2 x 150 x 251 = 75300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75300

Therefore, the GCF of Fractions 715/300,9182/502 is 1/75300

Least Common Multiple of 300,502 with GCF Formula

Least Common Multiple of 300,502 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 300,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,502) = 2

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

GCF(300,502) x common factors =2 x 1 = 2

LCM(300,502) = ( 300 × 502 ) / 2

LCM(300,502) = 150600 / 2

LCM(300,502) = 75300


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 715/300, 9182/502

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 715/300, 9182/502?

Answer: GCF of Numerators as per given numbers 715/300, 9182/502 is

GCF of Numerators i.e. for 715,9182 is 1

LCM of denominators i.e. for 300,502 is 75300.

Thus, GCF of Fractions is 1/75300.Finally, GCF of Fractions for 715/300, 9182/502 is 1/75300.