Greatest Common Factor of 33/73, 27/44, 15/84, 69/601

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 33/73, 27/44, 15/84, 69/601

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 33/73,27/44,15/84,69/601

Given fractions are 33/73,27/44,15/84,69/601

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 33,27,15,69

Greatest Common Factor of Numerators i.e. GCF of 33,27,15,69 is 3 .

LCM of Denominators means LCM of 73,44,84,601 as per the given fractions.

LCM of 73,44,84,601 is 40538652 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 33,27,15,69

GCF of Fractions 33/73,27/44,15/84,69/601 is 3/40538652

3 33, 27, 15, 69
11, 9, 5, 23

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

Greatest Common Factor of 33,27,15,69 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,27,15,69 By Matching Biggest Common Factor Method

Factors of 33

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

1,3,11,33

Factors of 27

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

1,3,9,27

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Greatest Common Factor

We found the factors 33,27,15,69 . The biggest common factor number is the GCF number.
So the greatest common factor 33,27,15,69 is 3.

Lets's calculate LCM of 73,44,84,601

2 73, 44, 84, 601
2 73, 22, 42, 601
73, 11, 21, 601

∴ So the LCM of the given numbers is 2 x 2 x 73 x 11 x 21 x 601 = 40538652

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/40538652

Therefore, the GCF of Fractions 33/73,27/44,15/84,69/601 is 3/40538652

Least Common Multiple of 73,44,84,601 with GCF Formula

Least Common Multiple of 73,44,84,601 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 73,44,84,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,44,84,601) = 1

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

GCF(73,44,84,601) x common factors =1 x 4 = 4

LCM(73,44,84,601) = ( 73 × 44 × 84 × 601 ) / 4

LCM(73,44,84,601) = 162154608 / 4

LCM(73,44,84,601) = 40538652


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 33/73, 27/44, 15/84, 69/601

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 33/73, 27/44, 15/84, 69/601?

Answer: GCF of Numerators as per given numbers 33/73, 27/44, 15/84, 69/601 is

GCF of Numerators i.e. for 33,27,15,69 is 3

LCM of denominators i.e. for 73,44,84,601 is 40538652.

Thus, GCF of Fractions is 3/40538652.Finally, GCF of Fractions for 33/73, 27/44, 15/84, 69/601 is 3/40538652.