Greatest Common Factor of 593/17, 6475/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 593/17, 6475/742

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 593/17,6475/742

Given fractions are 593/17,6475/742

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 593,6475

Greatest Common Factor of Numerators i.e. GCF of 593,6475 is 1 .

LCM of Denominators means LCM of 17,742 as per the given fractions.

LCM of 17,742 is 12614 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 593,6475

GCF of Fractions 593/17,6475/742 is 1/12614

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

Greatest Common Factor of 593,6475 By Matching Biggest Common Factor Method

Greatest Common Factor of 593,6475 By Matching Biggest Common Factor Method

Factors of 593

List of positive integer factors of 593 that divides 593 without a remainder.

1,593

Factors of 6475

List of positive integer factors of 6475 that divides 6475 without a remainder.

1,5,7,25,35,37,175,185,259,925,1295,6475

Greatest Common Factor

We found the factors 593,6475 . The biggest common factor number is the GCF number.
So the greatest common factor 593,6475 is 1.

Lets's calculate LCM of 17,742

Given numbers has no common factors except 1. So, there LCM is their product i.e 12614

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12614

Therefore, the GCF of Fractions 593/17,6475/742 is 1/12614

Least Common Multiple of 17,742 with GCF Formula

Least Common Multiple of 17,742 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 17,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,742) = 1

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

GCF(17,742) x common factors =1 x 1 = 1

LCM(17,742) = ( 17 × 742 ) / 1

LCM(17,742) = 12614 / 1

LCM(17,742) = 12614


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 593/17, 6475/742

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 593/17, 6475/742?

Answer: GCF of Numerators as per given numbers 593/17, 6475/742 is

GCF of Numerators i.e. for 593,6475 is 1

LCM of denominators i.e. for 17,742 is 12614.

Thus, GCF of Fractions is 1/12614.Finally, GCF of Fractions for 593/17, 6475/742 is 1/12614.