Greatest Common Factor of 9849/595, 6045/558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9849/595, 6045/558

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 9849/595,6045/558

Given fractions are 9849/595,6045/558

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 9849,6045

Greatest Common Factor of Numerators i.e. GCF of 9849,6045 is 3 .

LCM of Denominators means LCM of 595,558 as per the given fractions.

LCM of 595,558 is 332010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9849,6045

GCF of Fractions 9849/595,6045/558 is 3/332010

3 9849, 6045
3283, 2015

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9849,6045 By Matching Biggest Common Factor Method

Greatest Common Factor of 9849,6045 By Matching Biggest Common Factor Method

Factors of 9849

List of positive integer factors of 9849 that divides 9849 without a remainder.

1,3,7,21,49,67,147,201,469,1407,3283,9849

Factors of 6045

List of positive integer factors of 6045 that divides 6045 without a remainder.

1,3,5,13,15,31,39,65,93,155,195,403,465,1209,2015,6045

Greatest Common Factor

We found the factors 9849,6045 . The biggest common factor number is the GCF number.
So the greatest common factor 9849,6045 is 3.

Lets's calculate LCM of 595,558

Given numbers has no common factors except 1. So, there LCM is their product i.e 332010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/332010

Therefore, the GCF of Fractions 9849/595,6045/558 is 3/332010

Least Common Multiple of 595,558 with GCF Formula

Least Common Multiple of 595,558 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 595,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(595,558) = 1

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

GCF(595,558) x common factors =1 x 1 = 1

LCM(595,558) = ( 595 × 558 ) / 1

LCM(595,558) = 332010 / 1

LCM(595,558) = 332010


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 9849/595, 6045/558

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 9849/595, 6045/558?

Answer: GCF of Numerators as per given numbers 9849/595, 6045/558 is

GCF of Numerators i.e. for 9849,6045 is 3

LCM of denominators i.e. for 595,558 is 332010.

Thus, GCF of Fractions is 3/332010.Finally, GCF of Fractions for 9849/595, 6045/558 is 3/332010.