Greatest Common Factor of 9405/808, 5236/2891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9405/808, 5236/2891

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 9405/808,5236/2891

Given fractions are 9405/808,5236/2891

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 9405,5236

Greatest Common Factor of Numerators i.e. GCF of 9405,5236 is 11 .

LCM of Denominators means LCM of 808,2891 as per the given fractions.

LCM of 808,2891 is 2335928 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9405,5236

GCF of Fractions 9405/808,5236/2891 is 11/2335928

11 9405, 5236
855, 476

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 9405,5236 By Matching Biggest Common Factor Method

Greatest Common Factor of 9405,5236 By Matching Biggest Common Factor Method

Factors of 9405

List of positive integer factors of 9405 that divides 9405 without a remainder.

1,3,5,9,11,15,19,33,45,55,57,95,99,165,171,209,285,495,627,855,1045,1881,3135,9405

Factors of 5236

List of positive integer factors of 5236 that divides 5236 without a remainder.

1,2,4,7,11,14,17,22,28,34,44,68,77,119,154,187,238,308,374,476,748,1309,2618,5236

Greatest Common Factor

We found the factors 9405,5236 . The biggest common factor number is the GCF number.
So the greatest common factor 9405,5236 is 11.

Lets's calculate LCM of 808,2891

Given numbers has no common factors except 1. So, there LCM is their product i.e 2335928

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2335928

Therefore, the GCF of Fractions 9405/808,5236/2891 is 11/2335928

Least Common Multiple of 808,2891 with GCF Formula

Least Common Multiple of 808,2891 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 808,2891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(808,2891) = 1

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

GCF(808,2891) x common factors =1 x 1 = 1

LCM(808,2891) = ( 808 × 2891 ) / 1

LCM(808,2891) = 2335928 / 1

LCM(808,2891) = 2335928


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 9405/808, 5236/2891

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 9405/808, 5236/2891?

Answer: GCF of Numerators as per given numbers 9405/808, 5236/2891 is

GCF of Numerators i.e. for 9405,5236 is 11

LCM of denominators i.e. for 808,2891 is 2335928.

Thus, GCF of Fractions is 11/2335928.Finally, GCF of Fractions for 9405/808, 5236/2891 is 11/2335928.