Greatest Common Factor of 447/59, 727/27, 106/66

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 447/59, 727/27, 106/66

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 447/59,727/27,106/66

Given fractions are 447/59,727/27,106/66

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 447,727,106

Greatest Common Factor of Numerators i.e. GCF of 447,727,106 is 1 .

LCM of Denominators means LCM of 59,27,66 as per the given fractions.

LCM of 59,27,66 is 35046 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 447,727,106

GCF of Fractions 447/59,727/27,106/66 is 1/35046

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

Greatest Common Factor of 447,727,106 By Matching Biggest Common Factor Method

Greatest Common Factor of 447,727,106 By Matching Biggest Common Factor Method

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Greatest Common Factor

We found the factors 447,727,106 . The biggest common factor number is the GCF number.
So the greatest common factor 447,727,106 is 1.

Lets's calculate LCM of 59,27,66

3 59, 27, 66
59, 9, 22

∴ So the LCM of the given numbers is 3 x 59 x 9 x 22 = 35046

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35046

Therefore, the GCF of Fractions 447/59,727/27,106/66 is 1/35046

Least Common Multiple of 59,27,66 with GCF Formula

Least Common Multiple of 59,27,66 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 59,27,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,27,66) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(59,27,66) x common factors =1 x 3 = 3

LCM(59,27,66) = ( 59 × 27 × 66 ) / 3

LCM(59,27,66) = 105138 / 3

LCM(59,27,66) = 35046


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 447/59, 727/27, 106/66

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 447/59, 727/27, 106/66?

Answer: GCF of Numerators as per given numbers 447/59, 727/27, 106/66 is

GCF of Numerators i.e. for 447,727,106 is 1

LCM of denominators i.e. for 59,27,66 is 35046.

Thus, GCF of Fractions is 1/35046.Finally, GCF of Fractions for 447/59, 727/27, 106/66 is 1/35046.