Greatest Common Factor of 1729/13, 5983/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1729/13, 5983/106

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 1729/13,5983/106

Given fractions are 1729/13,5983/106

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 1729,5983

Greatest Common Factor of Numerators i.e. GCF of 1729,5983 is 1 .

LCM of Denominators means LCM of 13,106 as per the given fractions.

LCM of 13,106 is 1378 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1729,5983

GCF of Fractions 1729/13,5983/106 is 1/1378

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

Greatest Common Factor of 1729,5983 By Matching Biggest Common Factor Method

Greatest Common Factor of 1729,5983 By Matching Biggest Common Factor Method

Factors of 1729

List of positive integer factors of 1729 that divides 1729 without a remainder.

1,7,13,19,91,133,247,1729

Factors of 5983

List of positive integer factors of 5983 that divides 5983 without a remainder.

1,31,193,5983

Greatest Common Factor

We found the factors 1729,5983 . The biggest common factor number is the GCF number.
So the greatest common factor 1729,5983 is 1.

Lets's calculate LCM of 13,106

Given numbers has no common factors except 1. So, there LCM is their product i.e 1378

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1378

Therefore, the GCF of Fractions 1729/13,5983/106 is 1/1378

Least Common Multiple of 13,106 with GCF Formula

Least Common Multiple of 13,106 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 13,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,106) = 1

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

GCF(13,106) x common factors =1 x 1 = 1

LCM(13,106) = ( 13 × 106 ) / 1

LCM(13,106) = 1378 / 1

LCM(13,106) = 1378


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 1729/13, 5983/106

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 1729/13, 5983/106?

Answer: GCF of Numerators as per given numbers 1729/13, 5983/106 is

GCF of Numerators i.e. for 1729,5983 is 1

LCM of denominators i.e. for 13,106 is 1378.

Thus, GCF of Fractions is 1/1378.Finally, GCF of Fractions for 1729/13, 5983/106 is 1/1378.