Greatest Common Factor of 5607/303, 9309/9499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5607/303, 9309/9499

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 5607/303,9309/9499

Given fractions are 5607/303,9309/9499

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 5607,9309

Greatest Common Factor of Numerators i.e. GCF of 5607,9309 is 3 .

LCM of Denominators means LCM of 303,9499 as per the given fractions.

LCM of 303,9499 is 2878197 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5607,9309

GCF of Fractions 5607/303,9309/9499 is 3/2878197

3 5607, 9309
1869, 3103

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

Greatest Common Factor of 5607,9309 By Matching Biggest Common Factor Method

Greatest Common Factor of 5607,9309 By Matching Biggest Common Factor Method

Factors of 5607

List of positive integer factors of 5607 that divides 5607 without a remainder.

1,3,7,9,21,63,89,267,623,801,1869,5607

Factors of 9309

List of positive integer factors of 9309 that divides 9309 without a remainder.

1,3,29,87,107,321,3103,9309

Greatest Common Factor

We found the factors 5607,9309 . The biggest common factor number is the GCF number.
So the greatest common factor 5607,9309 is 3.

Lets's calculate LCM of 303,9499

Given numbers has no common factors except 1. So, there LCM is their product i.e 2878197

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2878197

Therefore, the GCF of Fractions 5607/303,9309/9499 is 3/2878197

Least Common Multiple of 303,9499 with GCF Formula

Least Common Multiple of 303,9499 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 303,9499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(303,9499) = 1

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

GCF(303,9499) x common factors =1 x 1 = 1

LCM(303,9499) = ( 303 × 9499 ) / 1

LCM(303,9499) = 2878197 / 1

LCM(303,9499) = 2878197


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 5607/303, 9309/9499

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 5607/303, 9309/9499?

Answer: GCF of Numerators as per given numbers 5607/303, 9309/9499 is

GCF of Numerators i.e. for 5607,9309 is 3

LCM of denominators i.e. for 303,9499 is 2878197.

Thus, GCF of Fractions is 3/2878197.Finally, GCF of Fractions for 5607/303, 9309/9499 is 3/2878197.