Greatest Common Factor of 68/648, 33/381, 918/558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/648, 33/381, 918/558

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 68/648,33/381,918/558

Given fractions are 68/648,33/381,918/558

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 68,33,918

Greatest Common Factor of Numerators i.e. GCF of 68,33,918 is 1 .

LCM of Denominators means LCM of 648,381,558 as per the given fractions.

LCM of 648,381,558 is 2551176 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,33,918

GCF of Fractions 68/648,33/381,918/558 is 1/2551176

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

Greatest Common Factor of 68,33,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,33,918 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 68,33,918 . The biggest common factor number is the GCF number.
So the greatest common factor 68,33,918 is 1.

Lets's calculate LCM of 648,381,558

2 648, 381, 558
3 324, 381, 279
3 108, 127, 93
36, 127, 31

∴ So the LCM of the given numbers is 2 x 3 x 3 x 36 x 127 x 31 = 2551176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2551176

Therefore, the GCF of Fractions 68/648,33/381,918/558 is 1/2551176

Least Common Multiple of 648,381,558 with GCF Formula

Least Common Multiple of 648,381,558 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 648,381,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,381,558) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(648,381,558) x common factors =3 x 18 = 54

LCM(648,381,558) = ( 648 × 381 × 558 ) / 54

LCM(648,381,558) = 137763504 / 54

LCM(648,381,558) = 2551176


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 68/648, 33/381, 918/558

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 68/648, 33/381, 918/558?

Answer: GCF of Numerators as per given numbers 68/648, 33/381, 918/558 is

GCF of Numerators i.e. for 68,33,918 is 1

LCM of denominators i.e. for 648,381,558 is 2551176.

Thus, GCF of Fractions is 1/2551176.Finally, GCF of Fractions for 68/648, 33/381, 918/558 is 1/2551176.