Greatest Common Factor of 9363/404, 8516/436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9363/404, 8516/436

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 9363/404,8516/436

Given fractions are 9363/404,8516/436

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 9363,8516

Greatest Common Factor of Numerators i.e. GCF of 9363,8516 is 1 .

LCM of Denominators means LCM of 404,436 as per the given fractions.

LCM of 404,436 is 44036 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9363,8516

GCF of Fractions 9363/404,8516/436 is 1/44036

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

Greatest Common Factor of 9363,8516 By Matching Biggest Common Factor Method

Greatest Common Factor of 9363,8516 By Matching Biggest Common Factor Method

Factors of 9363

List of positive integer factors of 9363 that divides 9363 without a remainder.

1,3,3121,9363

Factors of 8516

List of positive integer factors of 8516 that divides 8516 without a remainder.

1,2,4,2129,4258,8516

Greatest Common Factor

We found the factors 9363,8516 . The biggest common factor number is the GCF number.
So the greatest common factor 9363,8516 is 1.

Lets's calculate LCM of 404,436

2 404, 436
2 202, 218
101, 109

∴ So the LCM of the given numbers is 2 x 2 x 101 x 109 = 44036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44036

Therefore, the GCF of Fractions 9363/404,8516/436 is 1/44036

Least Common Multiple of 404,436 with GCF Formula

Least Common Multiple of 404,436 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 404,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,436) = 4

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

GCF(404,436) x common factors =4 x 1 = 4

LCM(404,436) = ( 404 × 436 ) / 4

LCM(404,436) = 176144 / 4

LCM(404,436) = 44036


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 9363/404, 8516/436

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 9363/404, 8516/436?

Answer: GCF of Numerators as per given numbers 9363/404, 8516/436 is

GCF of Numerators i.e. for 9363,8516 is 1

LCM of denominators i.e. for 404,436 is 44036.

Thus, GCF of Fractions is 1/44036.Finally, GCF of Fractions for 9363/404, 8516/436 is 1/44036.