Greatest Common Factor of 193/13, 498/43, 683/48

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 193/13, 498/43, 683/48

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 193/13,498/43,683/48

Given fractions are 193/13,498/43,683/48

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 193,498,683

Greatest Common Factor of Numerators i.e. GCF of 193,498,683 is 1 .

LCM of Denominators means LCM of 13,43,48 as per the given fractions.

LCM of 13,43,48 is 26832 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 193,498,683

GCF of Fractions 193/13,498/43,683/48 is 1/26832

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

Greatest Common Factor of 193,498,683 By Matching Biggest Common Factor Method

Greatest Common Factor of 193,498,683 By Matching Biggest Common Factor Method

Factors of 193

List of positive integer factors of 193 that divides 193 without a remainder.

1,193

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Greatest Common Factor

We found the factors 193,498,683 . The biggest common factor number is the GCF number.
So the greatest common factor 193,498,683 is 1.

Lets's calculate LCM of 13,43,48

Given numbers has no common factors except 1. So, there LCM is their product i.e 26832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26832

Therefore, the GCF of Fractions 193/13,498/43,683/48 is 1/26832

Least Common Multiple of 13,43,48 with GCF Formula

Least Common Multiple of 13,43,48 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 13,43,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,43,48) = 1

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

GCF(13,43,48) x common factors =1 x 1 = 1

LCM(13,43,48) = ( 13 × 43 × 48 ) / 1

LCM(13,43,48) = 26832 / 1

LCM(13,43,48) = 26832


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 193/13, 498/43, 683/48

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 193/13, 498/43, 683/48?

Answer: GCF of Numerators as per given numbers 193/13, 498/43, 683/48 is

GCF of Numerators i.e. for 193,498,683 is 1

LCM of denominators i.e. for 13,43,48 is 26832.

Thus, GCF of Fractions is 1/26832.Finally, GCF of Fractions for 193/13, 498/43, 683/48 is 1/26832.