Greatest Common Factor of 27/669, 33/598, 708/882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/669, 33/598, 708/882

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 27/669,33/598,708/882

Given fractions are 27/669,33/598,708/882

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 27,33,708

Greatest Common Factor of Numerators i.e. GCF of 27,33,708 is 3 .

LCM of Denominators means LCM of 669,598,882 as per the given fractions.

LCM of 669,598,882 is 58809114 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,33,708

GCF of Fractions 27/669,33/598,708/882 is 3/58809114

3 27, 33, 708
9, 11, 236

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

Greatest Common Factor of 27,33,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,33,708 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 33

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

1,3,11,33

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 27,33,708 . The biggest common factor number is the GCF number.
So the greatest common factor 27,33,708 is 3.

Lets's calculate LCM of 669,598,882

2 669, 598, 882
3 669, 299, 441
223, 299, 147

∴ So the LCM of the given numbers is 2 x 3 x 223 x 299 x 147 = 58809114

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/58809114

Therefore, the GCF of Fractions 27/669,33/598,708/882 is 3/58809114

Least Common Multiple of 669,598,882 with GCF Formula

Least Common Multiple of 669,598,882 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 669,598,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(669,598,882) = 1

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

GCF(669,598,882) x common factors =1 x 6 = 6

LCM(669,598,882) = ( 669 × 598 × 882 ) / 6

LCM(669,598,882) = 352854684 / 6

LCM(669,598,882) = 58809114


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 27/669, 33/598, 708/882

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 27/669, 33/598, 708/882?

Answer: GCF of Numerators as per given numbers 27/669, 33/598, 708/882 is

GCF of Numerators i.e. for 27,33,708 is 3

LCM of denominators i.e. for 669,598,882 is 58809114.

Thus, GCF of Fractions is 3/58809114.Finally, GCF of Fractions for 27/669, 33/598, 708/882 is 3/58809114.