Greatest Common Factor of 673/596, 6523/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 673/596, 6523/578

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 673/596,6523/578

Given fractions are 673/596,6523/578

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 673,6523

Greatest Common Factor of Numerators i.e. GCF of 673,6523 is 1 .

LCM of Denominators means LCM of 596,578 as per the given fractions.

LCM of 596,578 is 172244 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 673,6523

GCF of Fractions 673/596,6523/578 is 1/172244

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

Greatest Common Factor of 673,6523 By Matching Biggest Common Factor Method

Greatest Common Factor of 673,6523 By Matching Biggest Common Factor Method

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1,673

Factors of 6523

List of positive integer factors of 6523 that divides 6523 without a remainder.

1,11,593,6523

Greatest Common Factor

We found the factors 673,6523 . The biggest common factor number is the GCF number.
So the greatest common factor 673,6523 is 1.

Lets's calculate LCM of 596,578

2 596, 578
298, 289

∴ So the LCM of the given numbers is 2 x 298 x 289 = 172244

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/172244

Therefore, the GCF of Fractions 673/596,6523/578 is 1/172244

Least Common Multiple of 596,578 with GCF Formula

Least Common Multiple of 596,578 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 596,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(596,578) = 2

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

GCF(596,578) x common factors =2 x 1 = 2

LCM(596,578) = ( 596 × 578 ) / 2

LCM(596,578) = 344488 / 2

LCM(596,578) = 172244


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 673/596, 6523/578

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 673/596, 6523/578?

Answer: GCF of Numerators as per given numbers 673/596, 6523/578 is

GCF of Numerators i.e. for 673,6523 is 1

LCM of denominators i.e. for 596,578 is 172244.

Thus, GCF of Fractions is 1/172244.Finally, GCF of Fractions for 673/596, 6523/578 is 1/172244.