Greatest Common Factor of 9345/983, 8214/2267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9345/983, 8214/2267

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 9345/983,8214/2267

Given fractions are 9345/983,8214/2267

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 9345,8214

Greatest Common Factor of Numerators i.e. GCF of 9345,8214 is 3 .

LCM of Denominators means LCM of 983,2267 as per the given fractions.

LCM of 983,2267 is 2228461 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9345,8214

GCF of Fractions 9345/983,8214/2267 is 3/2228461

3 9345, 8214
3115, 2738

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9345,8214 By Matching Biggest Common Factor Method

Greatest Common Factor of 9345,8214 By Matching Biggest Common Factor Method

Factors of 9345

List of positive integer factors of 9345 that divides 9345 without a remainder.

1,3,5,7,15,21,35,89,105,267,445,623,1335,1869,3115,9345

Factors of 8214

List of positive integer factors of 8214 that divides 8214 without a remainder.

1,2,3,6,37,74,111,222,1369,2738,4107,8214

Greatest Common Factor

We found the factors 9345,8214 . The biggest common factor number is the GCF number.
So the greatest common factor 9345,8214 is 3.

Lets's calculate LCM of 983,2267

Given numbers has no common factors except 1. So, there LCM is their product i.e 2228461

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2228461

Therefore, the GCF of Fractions 9345/983,8214/2267 is 3/2228461

Least Common Multiple of 983,2267 with GCF Formula

Least Common Multiple of 983,2267 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 983,2267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(983,2267) = 1

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

GCF(983,2267) x common factors =1 x 1 = 1

LCM(983,2267) = ( 983 × 2267 ) / 1

LCM(983,2267) = 2228461 / 1

LCM(983,2267) = 2228461


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 9345/983, 8214/2267

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 9345/983, 8214/2267?

Answer: GCF of Numerators as per given numbers 9345/983, 8214/2267 is

GCF of Numerators i.e. for 9345,8214 is 3

LCM of denominators i.e. for 983,2267 is 2228461.

Thus, GCF of Fractions is 3/2228461.Finally, GCF of Fractions for 9345/983, 8214/2267 is 3/2228461.