Greatest Common Factor of 9205/198, 5816/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9205/198, 5816/460

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 9205/198,5816/460

Given fractions are 9205/198,5816/460

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 9205,5816

Greatest Common Factor of Numerators i.e. GCF of 9205,5816 is 1 .

LCM of Denominators means LCM of 198,460 as per the given fractions.

LCM of 198,460 is 45540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9205,5816

GCF of Fractions 9205/198,5816/460 is 1/45540

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

Greatest Common Factor of 9205,5816 By Matching Biggest Common Factor Method

Greatest Common Factor of 9205,5816 By Matching Biggest Common Factor Method

Factors of 9205

List of positive integer factors of 9205 that divides 9205 without a remainder.

1,5,7,35,263,1315,1841,9205

Factors of 5816

List of positive integer factors of 5816 that divides 5816 without a remainder.

1,2,4,8,727,1454,2908,5816

Greatest Common Factor

We found the factors 9205,5816 . The biggest common factor number is the GCF number.
So the greatest common factor 9205,5816 is 1.

Lets's calculate LCM of 198,460

2 198, 460
99, 230

∴ So the LCM of the given numbers is 2 x 99 x 230 = 45540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45540

Therefore, the GCF of Fractions 9205/198,5816/460 is 1/45540

Least Common Multiple of 198,460 with GCF Formula

Least Common Multiple of 198,460 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 198,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,460) = 2

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

GCF(198,460) x common factors =2 x 1 = 2

LCM(198,460) = ( 198 × 460 ) / 2

LCM(198,460) = 91080 / 2

LCM(198,460) = 45540


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 9205/198, 5816/460

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 9205/198, 5816/460?

Answer: GCF of Numerators as per given numbers 9205/198, 5816/460 is

GCF of Numerators i.e. for 9205,5816 is 1

LCM of denominators i.e. for 198,460 is 45540.

Thus, GCF of Fractions is 1/45540.Finally, GCF of Fractions for 9205/198, 5816/460 is 1/45540.