Greatest Common Factor of 9165/221, 4082/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9165/221, 4082/350

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 9165/221,4082/350

Given fractions are 9165/221,4082/350

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 9165,4082

Greatest Common Factor of Numerators i.e. GCF of 9165,4082 is 13 .

LCM of Denominators means LCM of 221,350 as per the given fractions.

LCM of 221,350 is 77350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9165,4082

GCF of Fractions 9165/221,4082/350 is 13/77350

13 9165, 4082
705, 314

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 9165,4082 By Matching Biggest Common Factor Method

Greatest Common Factor of 9165,4082 By Matching Biggest Common Factor Method

Factors of 9165

List of positive integer factors of 9165 that divides 9165 without a remainder.

1,3,5,13,15,39,47,65,141,195,235,611,705,1833,3055,9165

Factors of 4082

List of positive integer factors of 4082 that divides 4082 without a remainder.

1,2,13,26,157,314,2041,4082

Greatest Common Factor

We found the factors 9165,4082 . The biggest common factor number is the GCF number.
So the greatest common factor 9165,4082 is 13.

Lets's calculate LCM of 221,350

Given numbers has no common factors except 1. So, there LCM is their product i.e 77350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/77350

Therefore, the GCF of Fractions 9165/221,4082/350 is 13/77350

Least Common Multiple of 221,350 with GCF Formula

Least Common Multiple of 221,350 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 221,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(221,350) = 1

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

GCF(221,350) x common factors =1 x 1 = 1

LCM(221,350) = ( 221 × 350 ) / 1

LCM(221,350) = 77350 / 1

LCM(221,350) = 77350


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 9165/221, 4082/350

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 9165/221, 4082/350?

Answer: GCF of Numerators as per given numbers 9165/221, 4082/350 is

GCF of Numerators i.e. for 9165,4082 is 13

LCM of denominators i.e. for 221,350 is 77350.

Thus, GCF of Fractions is 13/77350.Finally, GCF of Fractions for 9165/221, 4082/350 is 13/77350.