Greatest Common Factor of 9213/394, 8485/9284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9213/394, 8485/9284

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 9213/394,8485/9284

Given fractions are 9213/394,8485/9284

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 9213,8485

Greatest Common Factor of Numerators i.e. GCF of 9213,8485 is 1 .

LCM of Denominators means LCM of 394,9284 as per the given fractions.

LCM of 394,9284 is 1828948 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9213,8485

GCF of Fractions 9213/394,8485/9284 is 1/1828948

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

Greatest Common Factor of 9213,8485 By Matching Biggest Common Factor Method

Greatest Common Factor of 9213,8485 By Matching Biggest Common Factor Method

Factors of 9213

List of positive integer factors of 9213 that divides 9213 without a remainder.

1,3,37,83,111,249,3071,9213

Factors of 8485

List of positive integer factors of 8485 that divides 8485 without a remainder.

1,5,1697,8485

Greatest Common Factor

We found the factors 9213,8485 . The biggest common factor number is the GCF number.
So the greatest common factor 9213,8485 is 1.

Lets's calculate LCM of 394,9284

2 394, 9284
197, 4642

∴ So the LCM of the given numbers is 2 x 197 x 4642 = 1828948

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1828948

Therefore, the GCF of Fractions 9213/394,8485/9284 is 1/1828948

Least Common Multiple of 394,9284 with GCF Formula

Least Common Multiple of 394,9284 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 394,9284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(394,9284) = 2

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

GCF(394,9284) x common factors =2 x 1 = 2

LCM(394,9284) = ( 394 × 9284 ) / 2

LCM(394,9284) = 3657896 / 2

LCM(394,9284) = 1828948


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 9213/394, 8485/9284

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 9213/394, 8485/9284?

Answer: GCF of Numerators as per given numbers 9213/394, 8485/9284 is

GCF of Numerators i.e. for 9213,8485 is 1

LCM of denominators i.e. for 394,9284 is 1828948.

Thus, GCF of Fractions is 1/1828948.Finally, GCF of Fractions for 9213/394, 8485/9284 is 1/1828948.