Greatest Common Factor of 9903/15, 4485/545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9903/15, 4485/545

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 9903/15,4485/545

Given fractions are 9903/15,4485/545

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 9903,4485

Greatest Common Factor of Numerators i.e. GCF of 9903,4485 is 3 .

LCM of Denominators means LCM of 15,545 as per the given fractions.

LCM of 15,545 is 1635 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9903,4485

GCF of Fractions 9903/15,4485/545 is 3/1635

3 9903, 4485
3301, 1495

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

Greatest Common Factor of 9903,4485 By Matching Biggest Common Factor Method

Greatest Common Factor of 9903,4485 By Matching Biggest Common Factor Method

Factors of 9903

List of positive integer factors of 9903 that divides 9903 without a remainder.

1,3,3301,9903

Factors of 4485

List of positive integer factors of 4485 that divides 4485 without a remainder.

1,3,5,13,15,23,39,65,69,115,195,299,345,897,1495,4485

Greatest Common Factor

We found the factors 9903,4485 . The biggest common factor number is the GCF number.
So the greatest common factor 9903,4485 is 3.

Lets's calculate LCM of 15,545

5 15, 545
3, 109

∴ So the LCM of the given numbers is 5 x 3 x 109 = 1635

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1635

Therefore, the GCF of Fractions 9903/15,4485/545 is 3/1635

Least Common Multiple of 15,545 with GCF Formula

Least Common Multiple of 15,545 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 15,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,545) = 5

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

GCF(15,545) x common factors =5 x 1 = 5

LCM(15,545) = ( 15 × 545 ) / 5

LCM(15,545) = 8175 / 5

LCM(15,545) = 1635


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 9903/15, 4485/545

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 9903/15, 4485/545?

Answer: GCF of Numerators as per given numbers 9903/15, 4485/545 is

GCF of Numerators i.e. for 9903,4485 is 3

LCM of denominators i.e. for 15,545 is 1635.

Thus, GCF of Fractions is 3/1635.Finally, GCF of Fractions for 9903/15, 4485/545 is 3/1635.