Greatest Common Factor of 9266/326, 8932/394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9266/326, 8932/394

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 9266/326,8932/394

Given fractions are 9266/326,8932/394

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 9266,8932

Greatest Common Factor of Numerators i.e. GCF of 9266,8932 is 2 .

LCM of Denominators means LCM of 326,394 as per the given fractions.

LCM of 326,394 is 64222 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9266,8932

GCF of Fractions 9266/326,8932/394 is 2/64222

2 9266, 8932
4633, 4466

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9266,8932 By Matching Biggest Common Factor Method

Greatest Common Factor of 9266,8932 By Matching Biggest Common Factor Method

Factors of 9266

List of positive integer factors of 9266 that divides 9266 without a remainder.

1,2,41,82,113,226,4633,9266

Factors of 8932

List of positive integer factors of 8932 that divides 8932 without a remainder.

1,2,4,7,11,14,22,28,29,44,58,77,116,154,203,308,319,406,638,812,1276,2233,4466,8932

Greatest Common Factor

We found the factors 9266,8932 . The biggest common factor number is the GCF number.
So the greatest common factor 9266,8932 is 2.

Lets's calculate LCM of 326,394

2 326, 394
163, 197

∴ So the LCM of the given numbers is 2 x 163 x 197 = 64222

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/64222

Therefore, the GCF of Fractions 9266/326,8932/394 is 2/64222

Least Common Multiple of 326,394 with GCF Formula

Least Common Multiple of 326,394 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 326,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(326,394) = 2

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

GCF(326,394) x common factors =2 x 1 = 2

LCM(326,394) = ( 326 × 394 ) / 2

LCM(326,394) = 128444 / 2

LCM(326,394) = 64222


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 9266/326, 8932/394

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 9266/326, 8932/394?

Answer: GCF of Numerators as per given numbers 9266/326, 8932/394 is

GCF of Numerators i.e. for 9266,8932 is 2

LCM of denominators i.e. for 326,394 is 64222.

Thus, GCF of Fractions is 2/64222.Finally, GCF of Fractions for 9266/326, 8932/394 is 2/64222.