Greatest Common Factor of 5725/816, 9323/9165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5725/816, 9323/9165

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 5725/816,9323/9165

Given fractions are 5725/816,9323/9165

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 5725,9323

Greatest Common Factor of Numerators i.e. GCF of 5725,9323 is 1 .

LCM of Denominators means LCM of 816,9165 as per the given fractions.

LCM of 816,9165 is 2492880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5725,9323

GCF of Fractions 5725/816,9323/9165 is 1/2492880

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

Greatest Common Factor of 5725,9323 By Matching Biggest Common Factor Method

Greatest Common Factor of 5725,9323 By Matching Biggest Common Factor Method

Factors of 5725

List of positive integer factors of 5725 that divides 5725 without a remainder.

1,5,25,229,1145,5725

Factors of 9323

List of positive integer factors of 9323 that divides 9323 without a remainder.

1,9323

Greatest Common Factor

We found the factors 5725,9323 . The biggest common factor number is the GCF number.
So the greatest common factor 5725,9323 is 1.

Lets's calculate LCM of 816,9165

3 816, 9165
272, 3055

∴ So the LCM of the given numbers is 3 x 272 x 3055 = 2492880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2492880

Therefore, the GCF of Fractions 5725/816,9323/9165 is 1/2492880

Least Common Multiple of 816,9165 with GCF Formula

Least Common Multiple of 816,9165 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 816,9165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(816,9165) = 3

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

GCF(816,9165) x common factors =3 x 1 = 3

LCM(816,9165) = ( 816 × 9165 ) / 3

LCM(816,9165) = 7478640 / 3

LCM(816,9165) = 2492880


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 5725/816, 9323/9165

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 5725/816, 9323/9165?

Answer: GCF of Numerators as per given numbers 5725/816, 9323/9165 is

GCF of Numerators i.e. for 5725,9323 is 1

LCM of denominators i.e. for 816,9165 is 2492880.

Thus, GCF of Fractions is 1/2492880.Finally, GCF of Fractions for 5725/816, 9323/9165 is 1/2492880.