Greatest Common Factor of 733/42, 819/49, 365/367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 733/42, 819/49, 365/367

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 733/42,819/49,365/367

Given fractions are 733/42,819/49,365/367

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 733,819,365

Greatest Common Factor of Numerators i.e. GCF of 733,819,365 is 1 .

LCM of Denominators means LCM of 42,49,367 as per the given fractions.

LCM of 42,49,367 is 107898 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 733,819,365

GCF of Fractions 733/42,819/49,365/367 is 1/107898

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

Greatest Common Factor of 733,819,365 By Matching Biggest Common Factor Method

Greatest Common Factor of 733,819,365 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 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Greatest Common Factor

We found the factors 733,819,365 . The biggest common factor number is the GCF number.
So the greatest common factor 733,819,365 is 1.

Lets's calculate LCM of 42,49,367

7 42, 49, 367
6, 7, 367

∴ So the LCM of the given numbers is 7 x 6 x 7 x 367 = 107898

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107898

Therefore, the GCF of Fractions 733/42,819/49,365/367 is 1/107898

Least Common Multiple of 42,49,367 with GCF Formula

Least Common Multiple of 42,49,367 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 42,49,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,49,367) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(42,49,367) x common factors =1 x 7 = 7

LCM(42,49,367) = ( 42 × 49 × 367 ) / 7

LCM(42,49,367) = 755286 / 7

LCM(42,49,367) = 107898


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 733/42, 819/49, 365/367

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 733/42, 819/49, 365/367?

Answer: GCF of Numerators as per given numbers 733/42, 819/49, 365/367 is

GCF of Numerators i.e. for 733,819,365 is 1

LCM of denominators i.e. for 42,49,367 is 107898.

Thus, GCF of Fractions is 1/107898.Finally, GCF of Fractions for 733/42, 819/49, 365/367 is 1/107898.