Greatest Common Factor of 8259/297, 8896/3355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8259/297, 8896/3355

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 8259/297,8896/3355

Given fractions are 8259/297,8896/3355

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 8259,8896

Greatest Common Factor of Numerators i.e. GCF of 8259,8896 is 1 .

LCM of Denominators means LCM of 297,3355 as per the given fractions.

LCM of 297,3355 is 90585 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8259,8896

GCF of Fractions 8259/297,8896/3355 is 1/90585

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

Greatest Common Factor of 8259,8896 By Matching Biggest Common Factor Method

Greatest Common Factor of 8259,8896 By Matching Biggest Common Factor Method

Factors of 8259

List of positive integer factors of 8259 that divides 8259 without a remainder.

1,3,2753,8259

Factors of 8896

List of positive integer factors of 8896 that divides 8896 without a remainder.

1,2,4,8,16,32,64,139,278,556,1112,2224,4448,8896

Greatest Common Factor

We found the factors 8259,8896 . The biggest common factor number is the GCF number.
So the greatest common factor 8259,8896 is 1.

Lets's calculate LCM of 297,3355

11 297, 3355
27, 305

∴ So the LCM of the given numbers is 11 x 27 x 305 = 90585

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90585

Therefore, the GCF of Fractions 8259/297,8896/3355 is 1/90585

Least Common Multiple of 297,3355 with GCF Formula

Least Common Multiple of 297,3355 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 297,3355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,3355) = 11

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

GCF(297,3355) x common factors =11 x 1 = 11

LCM(297,3355) = ( 297 × 3355 ) / 11

LCM(297,3355) = 996435 / 11

LCM(297,3355) = 90585


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 8259/297, 8896/3355

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 8259/297, 8896/3355?

Answer: GCF of Numerators as per given numbers 8259/297, 8896/3355 is

GCF of Numerators i.e. for 8259,8896 is 1

LCM of denominators i.e. for 297,3355 is 90585.

Thus, GCF of Fractions is 1/90585.Finally, GCF of Fractions for 8259/297, 8896/3355 is 1/90585.