Greatest Common Factor of 663/48, 300/81, 618/346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 663/48, 300/81, 618/346

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 663/48,300/81,618/346

Given fractions are 663/48,300/81,618/346

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 663,300,618

Greatest Common Factor of Numerators i.e. GCF of 663,300,618 is 3 .

LCM of Denominators means LCM of 48,81,346 as per the given fractions.

LCM of 48,81,346 is 224208 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 663,300,618

GCF of Fractions 663/48,300/81,618/346 is 3/224208

3 663, 300, 618
221, 100, 206

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 663,300,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 663,300,618 By Matching Biggest Common Factor Method

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 663,300,618 . The biggest common factor number is the GCF number.
So the greatest common factor 663,300,618 is 3.

Lets's calculate LCM of 48,81,346

2 48, 81, 346
3 24, 81, 173
8, 27, 173

∴ So the LCM of the given numbers is 2 x 3 x 8 x 27 x 173 = 224208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/224208

Therefore, the GCF of Fractions 663/48,300/81,618/346 is 3/224208

Least Common Multiple of 48,81,346 with GCF Formula

Least Common Multiple of 48,81,346 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 48,81,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,81,346) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(48,81,346) x common factors =1 x 6 = 6

LCM(48,81,346) = ( 48 × 81 × 346 ) / 6

LCM(48,81,346) = 1345248 / 6

LCM(48,81,346) = 224208


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 663/48, 300/81, 618/346

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 663/48, 300/81, 618/346?

Answer: GCF of Numerators as per given numbers 663/48, 300/81, 618/346 is

GCF of Numerators i.e. for 663,300,618 is 3

LCM of denominators i.e. for 48,81,346 is 224208.

Thus, GCF of Fractions is 3/224208.Finally, GCF of Fractions for 663/48, 300/81, 618/346 is 3/224208.