Greatest Common Factor of 733/746, 384/788, 590/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 733/746, 384/788, 590/505

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 733/746,384/788,590/505

Given fractions are 733/746,384/788,590/505

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 733,384,590

Greatest Common Factor of Numerators i.e. GCF of 733,384,590 is 1 .

LCM of Denominators means LCM of 746,788,505 as per the given fractions.

LCM of 746,788,505 is 148431620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 733,384,590

GCF of Fractions 733/746,384/788,590/505 is 1/148431620

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

Greatest Common Factor of 733,384,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 733,384,590 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 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 733,384,590 . The biggest common factor number is the GCF number.
So the greatest common factor 733,384,590 is 1.

Lets's calculate LCM of 746,788,505

2 746, 788, 505
373, 394, 505

∴ So the LCM of the given numbers is 2 x 373 x 394 x 505 = 148431620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148431620

Therefore, the GCF of Fractions 733/746,384/788,590/505 is 1/148431620

Least Common Multiple of 746,788,505 with GCF Formula

Least Common Multiple of 746,788,505 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 746,788,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,788,505) = 1

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

GCF(746,788,505) x common factors =1 x 2 = 2

LCM(746,788,505) = ( 746 × 788 × 505 ) / 2

LCM(746,788,505) = 296863240 / 2

LCM(746,788,505) = 148431620


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 733/746, 384/788, 590/505

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 733/746, 384/788, 590/505?

Answer: GCF of Numerators as per given numbers 733/746, 384/788, 590/505 is

GCF of Numerators i.e. for 733,384,590 is 1

LCM of denominators i.e. for 746,788,505 is 148431620.

Thus, GCF of Fractions is 1/148431620.Finally, GCF of Fractions for 733/746, 384/788, 590/505 is 1/148431620.