Greatest Common Factor of 5965/578, 4743/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5965/578, 4743/728

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 5965/578,4743/728

Given fractions are 5965/578,4743/728

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 5965,4743

Greatest Common Factor of Numerators i.e. GCF of 5965,4743 is 1 .

LCM of Denominators means LCM of 578,728 as per the given fractions.

LCM of 578,728 is 210392 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5965,4743

GCF of Fractions 5965/578,4743/728 is 1/210392

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

Greatest Common Factor of 5965,4743 By Matching Biggest Common Factor Method

Greatest Common Factor of 5965,4743 By Matching Biggest Common Factor Method

Factors of 5965

List of positive integer factors of 5965 that divides 5965 without a remainder.

1,5,1193,5965

Factors of 4743

List of positive integer factors of 4743 that divides 4743 without a remainder.

1,3,9,17,31,51,93,153,279,527,1581,4743

Greatest Common Factor

We found the factors 5965,4743 . The biggest common factor number is the GCF number.
So the greatest common factor 5965,4743 is 1.

Lets's calculate LCM of 578,728

2 578, 728
289, 364

∴ So the LCM of the given numbers is 2 x 289 x 364 = 210392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/210392

Therefore, the GCF of Fractions 5965/578,4743/728 is 1/210392

Least Common Multiple of 578,728 with GCF Formula

Least Common Multiple of 578,728 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 578,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(578,728) = 2

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

GCF(578,728) x common factors =2 x 1 = 2

LCM(578,728) = ( 578 × 728 ) / 2

LCM(578,728) = 420784 / 2

LCM(578,728) = 210392


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 5965/578, 4743/728

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 5965/578, 4743/728?

Answer: GCF of Numerators as per given numbers 5965/578, 4743/728 is

GCF of Numerators i.e. for 5965,4743 is 1

LCM of denominators i.e. for 578,728 is 210392.

Thus, GCF of Fractions is 1/210392.Finally, GCF of Fractions for 5965/578, 4743/728 is 1/210392.