Greatest Common Factor of 73/16, 36/23, 414/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 73/16, 36/23, 414/292

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 73/16,36/23,414/292

Given fractions are 73/16,36/23,414/292

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 73,36,414

Greatest Common Factor of Numerators i.e. GCF of 73,36,414 is 1 .

LCM of Denominators means LCM of 16,23,292 as per the given fractions.

LCM of 16,23,292 is 26864 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 73,36,414

GCF of Fractions 73/16,36/23,414/292 is 1/26864

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

Greatest Common Factor of 73,36,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,36,414 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 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 73,36,414 . The biggest common factor number is the GCF number.
So the greatest common factor 73,36,414 is 1.

Lets's calculate LCM of 16,23,292

2 16, 23, 292
2 8, 23, 146
4, 23, 73

∴ So the LCM of the given numbers is 2 x 2 x 4 x 23 x 73 = 26864

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26864

Therefore, the GCF of Fractions 73/16,36/23,414/292 is 1/26864

Least Common Multiple of 16,23,292 with GCF Formula

Least Common Multiple of 16,23,292 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 16,23,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,23,292) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(16,23,292) x common factors =1 x 4 = 4

LCM(16,23,292) = ( 16 × 23 × 292 ) / 4

LCM(16,23,292) = 107456 / 4

LCM(16,23,292) = 26864


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 73/16, 36/23, 414/292

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 73/16, 36/23, 414/292?

Answer: GCF of Numerators as per given numbers 73/16, 36/23, 414/292 is

GCF of Numerators i.e. for 73,36,414 is 1

LCM of denominators i.e. for 16,23,292 is 26864.

Thus, GCF of Fractions is 1/26864.Finally, GCF of Fractions for 73/16, 36/23, 414/292 is 1/26864.