Greatest Common Factor of 3182/915, 8298/303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3182/915, 8298/303

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 3182/915,8298/303

Given fractions are 3182/915,8298/303

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 3182,8298

Greatest Common Factor of Numerators i.e. GCF of 3182,8298 is 2 .

LCM of Denominators means LCM of 915,303 as per the given fractions.

LCM of 915,303 is 92415 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3182,8298

GCF of Fractions 3182/915,8298/303 is 2/92415

2 3182, 8298
1591, 4149

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3182,8298 By Matching Biggest Common Factor Method

Greatest Common Factor of 3182,8298 By Matching Biggest Common Factor Method

Factors of 3182

List of positive integer factors of 3182 that divides 3182 without a remainder.

1,2,37,43,74,86,1591,3182

Factors of 8298

List of positive integer factors of 8298 that divides 8298 without a remainder.

1,2,3,6,9,18,461,922,1383,2766,4149,8298

Greatest Common Factor

We found the factors 3182,8298 . The biggest common factor number is the GCF number.
So the greatest common factor 3182,8298 is 2.

Lets's calculate LCM of 915,303

3 915, 303
305, 101

∴ So the LCM of the given numbers is 3 x 305 x 101 = 92415

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/92415

Therefore, the GCF of Fractions 3182/915,8298/303 is 2/92415

Least Common Multiple of 915,303 with GCF Formula

Least Common Multiple of 915,303 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 915,303 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(915,303) = 3

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

GCF(915,303) x common factors =3 x 1 = 3

LCM(915,303) = ( 915 × 303 ) / 3

LCM(915,303) = 277245 / 3

LCM(915,303) = 92415


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 3182/915, 8298/303

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 3182/915, 8298/303?

Answer: GCF of Numerators as per given numbers 3182/915, 8298/303 is

GCF of Numerators i.e. for 3182,8298 is 2

LCM of denominators i.e. for 915,303 is 92415.

Thus, GCF of Fractions is 2/92415.Finally, GCF of Fractions for 3182/915, 8298/303 is 2/92415.