Greatest Common Factor of 3198/78, 8915/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3198/78, 8915/225

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 3198/78,8915/225

Given fractions are 3198/78,8915/225

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 3198,8915

Greatest Common Factor of Numerators i.e. GCF of 3198,8915 is 1 .

LCM of Denominators means LCM of 78,225 as per the given fractions.

LCM of 78,225 is 5850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3198,8915

GCF of Fractions 3198/78,8915/225 is 1/5850

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

Greatest Common Factor of 3198,8915 By Matching Biggest Common Factor Method

Greatest Common Factor of 3198,8915 By Matching Biggest Common Factor Method

Factors of 3198

List of positive integer factors of 3198 that divides 3198 without a remainder.

1,2,3,6,13,26,39,41,78,82,123,246,533,1066,1599,3198

Factors of 8915

List of positive integer factors of 8915 that divides 8915 without a remainder.

1,5,1783,8915

Greatest Common Factor

We found the factors 3198,8915 . The biggest common factor number is the GCF number.
So the greatest common factor 3198,8915 is 1.

Lets's calculate LCM of 78,225

3 78, 225
26, 75

∴ So the LCM of the given numbers is 3 x 26 x 75 = 5850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5850

Therefore, the GCF of Fractions 3198/78,8915/225 is 1/5850

Least Common Multiple of 78,225 with GCF Formula

Least Common Multiple of 78,225 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 78,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,225) = 3

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

GCF(78,225) x common factors =3 x 1 = 3

LCM(78,225) = ( 78 × 225 ) / 3

LCM(78,225) = 17550 / 3

LCM(78,225) = 5850


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 3198/78, 8915/225

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 3198/78, 8915/225?

Answer: GCF of Numerators as per given numbers 3198/78, 8915/225 is

GCF of Numerators i.e. for 3198,8915 is 1

LCM of denominators i.e. for 78,225 is 5850.

Thus, GCF of Fractions is 1/5850.Finally, GCF of Fractions for 3198/78, 8915/225 is 1/5850.