Greatest Common Factor of 7185/693, 6810/5038

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7185/693, 6810/5038

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 7185/693,6810/5038

Given fractions are 7185/693,6810/5038

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 7185,6810

Greatest Common Factor of Numerators i.e. GCF of 7185,6810 is 15 .

LCM of Denominators means LCM of 693,5038 as per the given fractions.

LCM of 693,5038 is 317394 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7185,6810

GCF of Fractions 7185/693,6810/5038 is 15/317394

3 7185, 6810
5 2395, 2270
479, 454

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

Greatest Common Factor of 7185,6810 By Matching Biggest Common Factor Method

Greatest Common Factor of 7185,6810 By Matching Biggest Common Factor Method

Factors of 7185

List of positive integer factors of 7185 that divides 7185 without a remainder.

1,3,5,15,479,1437,2395,7185

Factors of 6810

List of positive integer factors of 6810 that divides 6810 without a remainder.

1,2,3,5,6,10,15,30,227,454,681,1135,1362,2270,3405,6810

Greatest Common Factor

We found the factors 7185,6810 . The biggest common factor number is the GCF number.
So the greatest common factor 7185,6810 is 15.

Lets's calculate LCM of 693,5038

11 693, 5038
63, 458

∴ So the LCM of the given numbers is 11 x 63 x 458 = 317394

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/317394

Therefore, the GCF of Fractions 7185/693,6810/5038 is 15/317394

Least Common Multiple of 693,5038 with GCF Formula

Least Common Multiple of 693,5038 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 693,5038 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(693,5038) = 11

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

GCF(693,5038) x common factors =11 x 1 = 11

LCM(693,5038) = ( 693 × 5038 ) / 11

LCM(693,5038) = 3491334 / 11

LCM(693,5038) = 317394


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 7185/693, 6810/5038

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 7185/693, 6810/5038?

Answer: GCF of Numerators as per given numbers 7185/693, 6810/5038 is

GCF of Numerators i.e. for 7185,6810 is 15

LCM of denominators i.e. for 693,5038 is 317394.

Thus, GCF of Fractions is 15/317394.Finally, GCF of Fractions for 7185/693, 6810/5038 is 15/317394.