Greatest Common Factor of 733/34, 302/13, 766/44

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 733/34, 302/13, 766/44

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 733/34,302/13,766/44

Given fractions are 733/34,302/13,766/44

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 733,302,766

Greatest Common Factor of Numerators i.e. GCF of 733,302,766 is 1 .

LCM of Denominators means LCM of 34,13,44 as per the given fractions.

LCM of 34,13,44 is 9724 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 733,302,766

GCF of Fractions 733/34,302/13,766/44 is 1/9724

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

Greatest Common Factor of 733,302,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 733,302,766 By Matching Biggest Common Factor Method

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors 733,302,766 . The biggest common factor number is the GCF number.
So the greatest common factor 733,302,766 is 1.

Lets's calculate LCM of 34,13,44

2 34, 13, 44
17, 13, 22

∴ So the LCM of the given numbers is 2 x 17 x 13 x 22 = 9724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9724

Therefore, the GCF of Fractions 733/34,302/13,766/44 is 1/9724

Least Common Multiple of 34,13,44 with GCF Formula

Least Common Multiple of 34,13,44 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 34,13,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,13,44) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(34,13,44) x common factors =1 x 2 = 2

LCM(34,13,44) = ( 34 × 13 × 44 ) / 2

LCM(34,13,44) = 19448 / 2

LCM(34,13,44) = 9724


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 733/34, 302/13, 766/44

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 733/34, 302/13, 766/44?

Answer: GCF of Numerators as per given numbers 733/34, 302/13, 766/44 is

GCF of Numerators i.e. for 733,302,766 is 1

LCM of denominators i.e. for 34,13,44 is 9724.

Thus, GCF of Fractions is 1/9724.Finally, GCF of Fractions for 733/34, 302/13, 766/44 is 1/9724.