Greatest Common Factor of 665/32, 9909/808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 665/32, 9909/808

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 665/32,9909/808

Given fractions are 665/32,9909/808

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 665,9909

Greatest Common Factor of Numerators i.e. GCF of 665,9909 is 1 .

LCM of Denominators means LCM of 32,808 as per the given fractions.

LCM of 32,808 is 3232 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 665,9909

GCF of Fractions 665/32,9909/808 is 1/3232

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

Greatest Common Factor of 665,9909 By Matching Biggest Common Factor Method

Greatest Common Factor of 665,9909 By Matching Biggest Common Factor Method

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Factors of 9909

List of positive integer factors of 9909 that divides 9909 without a remainder.

1,3,9,27,367,1101,3303,9909

Greatest Common Factor

We found the factors 665,9909 . The biggest common factor number is the GCF number.
So the greatest common factor 665,9909 is 1.

Lets's calculate LCM of 32,808

2 32, 808
2 16, 404
2 8, 202
4, 101

∴ So the LCM of the given numbers is 2 x 2 x 2 x 4 x 101 = 3232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3232

Therefore, the GCF of Fractions 665/32,9909/808 is 1/3232

Least Common Multiple of 32,808 with GCF Formula

Least Common Multiple of 32,808 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 32,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,808) = 8

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

GCF(32,808) x common factors =8 x 1 = 8

LCM(32,808) = ( 32 × 808 ) / 8

LCM(32,808) = 25856 / 8

LCM(32,808) = 3232


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 665/32, 9909/808

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 665/32, 9909/808?

Answer: GCF of Numerators as per given numbers 665/32, 9909/808 is

GCF of Numerators i.e. for 665,9909 is 1

LCM of denominators i.e. for 32,808 is 3232.

Thus, GCF of Fractions is 1/3232.Finally, GCF of Fractions for 665/32, 9909/808 is 1/3232.