Greatest Common Factor of 66/982, 64/315, 243/783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 66/982, 64/315, 243/783

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 66/982,64/315,243/783

Given fractions are 66/982,64/315,243/783

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 66,64,243

Greatest Common Factor of Numerators i.e. GCF of 66,64,243 is 1 .

LCM of Denominators means LCM of 982,315,783 as per the given fractions.

LCM of 982,315,783 is 26911710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 66,64,243

GCF of Fractions 66/982,64/315,243/783 is 1/26911710

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

Greatest Common Factor of 66,64,243 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,64,243 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Greatest Common Factor

We found the factors 66,64,243 . The biggest common factor number is the GCF number.
So the greatest common factor 66,64,243 is 1.

Lets's calculate LCM of 982,315,783

3 982, 315, 783
3 982, 105, 261
982, 35, 87

∴ So the LCM of the given numbers is 3 x 3 x 982 x 35 x 87 = 26911710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26911710

Therefore, the GCF of Fractions 66/982,64/315,243/783 is 1/26911710

Least Common Multiple of 982,315,783 with GCF Formula

Least Common Multiple of 982,315,783 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 982,315,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(982,315,783) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(982,315,783) x common factors =1 x 9 = 9

LCM(982,315,783) = ( 982 × 315 × 783 ) / 9

LCM(982,315,783) = 242205390 / 9

LCM(982,315,783) = 26911710


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 66/982, 64/315, 243/783

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 66/982, 64/315, 243/783?

Answer: GCF of Numerators as per given numbers 66/982, 64/315, 243/783 is

GCF of Numerators i.e. for 66,64,243 is 1

LCM of denominators i.e. for 982,315,783 is 26911710.

Thus, GCF of Fractions is 1/26911710.Finally, GCF of Fractions for 66/982, 64/315, 243/783 is 1/26911710.