Greatest Common Factor of 573/46, 786/5394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 573/46, 786/5394

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 573/46,786/5394

Given fractions are 573/46,786/5394

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 573,786

Greatest Common Factor of Numerators i.e. GCF of 573,786 is 3 .

LCM of Denominators means LCM of 46,5394 as per the given fractions.

LCM of 46,5394 is 124062 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 573,786

GCF of Fractions 573/46,786/5394 is 3/124062

3 573, 786
191, 262

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

Greatest Common Factor of 573,786 By Matching Biggest Common Factor Method

Greatest Common Factor of 573,786 By Matching Biggest Common Factor Method

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Greatest Common Factor

We found the factors 573,786 . The biggest common factor number is the GCF number.
So the greatest common factor 573,786 is 3.

Lets's calculate LCM of 46,5394

2 46, 5394
23, 2697

∴ So the LCM of the given numbers is 2 x 23 x 2697 = 124062

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/124062

Therefore, the GCF of Fractions 573/46,786/5394 is 3/124062

Least Common Multiple of 46,5394 with GCF Formula

Least Common Multiple of 46,5394 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 46,5394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,5394) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(46,5394) x common factors =2 x 1 = 2

LCM(46,5394) = ( 46 × 5394 ) / 2

LCM(46,5394) = 248124 / 2

LCM(46,5394) = 124062


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 573/46, 786/5394

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 573/46, 786/5394?

Answer: GCF of Numerators as per given numbers 573/46, 786/5394 is

GCF of Numerators i.e. for 573,786 is 3

LCM of denominators i.e. for 46,5394 is 124062.

Thus, GCF of Fractions is 3/124062.Finally, GCF of Fractions for 573/46, 786/5394 is 3/124062.