Greatest Common Factor of 615/324, 8700/389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 615/324, 8700/389

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 615/324,8700/389

Given fractions are 615/324,8700/389

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 615,8700

Greatest Common Factor of Numerators i.e. GCF of 615,8700 is 15 .

LCM of Denominators means LCM of 324,389 as per the given fractions.

LCM of 324,389 is 126036 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 615,8700

GCF of Fractions 615/324,8700/389 is 15/126036

3 615, 8700
5 205, 2900
41, 580

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 615,8700 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,8700 By Matching Biggest Common Factor Method

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 8700

List of positive integer factors of 8700 that divides 8700 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,29,30,50,58,60,75,87,100,116,145,150,174,290,300,348,435,580,725,870,1450,1740,2175,2900,4350,8700

Greatest Common Factor

We found the factors 615,8700 . The biggest common factor number is the GCF number.
So the greatest common factor 615,8700 is 15.

Lets's calculate LCM of 324,389

Given numbers has no common factors except 1. So, there LCM is their product i.e 126036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/126036

Therefore, the GCF of Fractions 615/324,8700/389 is 15/126036

Least Common Multiple of 324,389 with GCF Formula

Least Common Multiple of 324,389 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 324,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(324,389) = 1

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

GCF(324,389) x common factors =1 x 1 = 1

LCM(324,389) = ( 324 × 389 ) / 1

LCM(324,389) = 126036 / 1

LCM(324,389) = 126036


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 615/324, 8700/389

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 615/324, 8700/389?

Answer: GCF of Numerators as per given numbers 615/324, 8700/389 is

GCF of Numerators i.e. for 615,8700 is 15

LCM of denominators i.e. for 324,389 is 126036.

Thus, GCF of Fractions is 15/126036.Finally, GCF of Fractions for 615/324, 8700/389 is 15/126036.