Greatest Common Factor of 1029/743, 6589/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1029/743, 6589/288

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 1029/743,6589/288

Given fractions are 1029/743,6589/288

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 1029,6589

Greatest Common Factor of Numerators i.e. GCF of 1029,6589 is 1 .

LCM of Denominators means LCM of 743,288 as per the given fractions.

LCM of 743,288 is 213984 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1029,6589

GCF of Fractions 1029/743,6589/288 is 1/213984

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

Greatest Common Factor of 1029,6589 By Matching Biggest Common Factor Method

Greatest Common Factor of 1029,6589 By Matching Biggest Common Factor Method

Factors of 1029

List of positive integer factors of 1029 that divides 1029 without a remainder.

1,3,7,21,49,147,343,1029

Factors of 6589

List of positive integer factors of 6589 that divides 6589 without a remainder.

1,11,599,6589

Greatest Common Factor

We found the factors 1029,6589 . The biggest common factor number is the GCF number.
So the greatest common factor 1029,6589 is 1.

Lets's calculate LCM of 743,288

Given numbers has no common factors except 1. So, there LCM is their product i.e 213984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/213984

Therefore, the GCF of Fractions 1029/743,6589/288 is 1/213984

Least Common Multiple of 743,288 with GCF Formula

Least Common Multiple of 743,288 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 743,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,288) = 1

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

GCF(743,288) x common factors =1 x 1 = 1

LCM(743,288) = ( 743 × 288 ) / 1

LCM(743,288) = 213984 / 1

LCM(743,288) = 213984


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 1029/743, 6589/288

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 1029/743, 6589/288?

Answer: GCF of Numerators as per given numbers 1029/743, 6589/288 is

GCF of Numerators i.e. for 1029,6589 is 1

LCM of denominators i.e. for 743,288 is 213984.

Thus, GCF of Fractions is 1/213984.Finally, GCF of Fractions for 1029/743, 6589/288 is 1/213984.