Greatest Common Factor of 73/73, 99/63, 138/309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 73/73, 99/63, 138/309

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 73/73,99/63,138/309

Given fractions are 73/73,99/63,138/309

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 73,99,138

Greatest Common Factor of Numerators i.e. GCF of 73,99,138 is 1 .

LCM of Denominators means LCM of 73,63,309 as per the given fractions.

LCM of 73,63,309 is 473697 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 73,99,138

GCF of Fractions 73/73,99/63,138/309 is 1/473697

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

Greatest Common Factor of 73,99,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,99,138 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 73,99,138 . The biggest common factor number is the GCF number.
So the greatest common factor 73,99,138 is 1.

Lets's calculate LCM of 73,63,309

3 73, 63, 309
73, 21, 103

∴ So the LCM of the given numbers is 3 x 73 x 21 x 103 = 473697

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/473697

Therefore, the GCF of Fractions 73/73,99/63,138/309 is 1/473697

Least Common Multiple of 73,63,309 with GCF Formula

Least Common Multiple of 73,63,309 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 73,63,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,63,309) = 1

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

GCF(73,63,309) x common factors =1 x 3 = 3

LCM(73,63,309) = ( 73 × 63 × 309 ) / 3

LCM(73,63,309) = 1421091 / 3

LCM(73,63,309) = 473697


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 73/73, 99/63, 138/309

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 73/73, 99/63, 138/309?

Answer: GCF of Numerators as per given numbers 73/73, 99/63, 138/309 is

GCF of Numerators i.e. for 73,99,138 is 1

LCM of denominators i.e. for 73,63,309 is 473697.

Thus, GCF of Fractions is 1/473697.Finally, GCF of Fractions for 73/73, 99/63, 138/309 is 1/473697.