Greatest Common Factor of 9882/595, 2007/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9882/595, 2007/509

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 9882/595,2007/509

Given fractions are 9882/595,2007/509

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 9882,2007

Greatest Common Factor of Numerators i.e. GCF of 9882,2007 is 9 .

LCM of Denominators means LCM of 595,509 as per the given fractions.

LCM of 595,509 is 302855 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9882,2007

GCF of Fractions 9882/595,2007/509 is 9/302855

3 9882, 2007
3 3294, 669
1098, 223

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 9882,2007 By Matching Biggest Common Factor Method

Greatest Common Factor of 9882,2007 By Matching Biggest Common Factor Method

Factors of 9882

List of positive integer factors of 9882 that divides 9882 without a remainder.

1,2,3,6,9,18,27,54,61,81,122,162,183,366,549,1098,1647,3294,4941,9882

Factors of 2007

List of positive integer factors of 2007 that divides 2007 without a remainder.

1,3,9,223,669,2007

Greatest Common Factor

We found the factors 9882,2007 . The biggest common factor number is the GCF number.
So the greatest common factor 9882,2007 is 9.

Lets's calculate LCM of 595,509

Given numbers has no common factors except 1. So, there LCM is their product i.e 302855

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/302855

Therefore, the GCF of Fractions 9882/595,2007/509 is 9/302855

Least Common Multiple of 595,509 with GCF Formula

Least Common Multiple of 595,509 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 595,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(595,509) = 1

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

GCF(595,509) x common factors =1 x 1 = 1

LCM(595,509) = ( 595 × 509 ) / 1

LCM(595,509) = 302855 / 1

LCM(595,509) = 302855


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 9882/595, 2007/509

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 9882/595, 2007/509?

Answer: GCF of Numerators as per given numbers 9882/595, 2007/509 is

GCF of Numerators i.e. for 9882,2007 is 9

LCM of denominators i.e. for 595,509 is 302855.

Thus, GCF of Fractions is 9/302855.Finally, GCF of Fractions for 9882/595, 2007/509 is 9/302855.