Greatest Common Factor of 9123/195, 8316/422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9123/195, 8316/422

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 9123/195,8316/422

Given fractions are 9123/195,8316/422

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 9123,8316

Greatest Common Factor of Numerators i.e. GCF of 9123,8316 is 3 .

LCM of Denominators means LCM of 195,422 as per the given fractions.

LCM of 195,422 is 82290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9123,8316

GCF of Fractions 9123/195,8316/422 is 3/82290

3 9123, 8316
3041, 2772

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

Greatest Common Factor of 9123,8316 By Matching Biggest Common Factor Method

Greatest Common Factor of 9123,8316 By Matching Biggest Common Factor Method

Factors of 9123

List of positive integer factors of 9123 that divides 9123 without a remainder.

1,3,3041,9123

Factors of 8316

List of positive integer factors of 8316 that divides 8316 without a remainder.

1,2,3,4,6,7,9,11,12,14,18,21,22,27,28,33,36,42,44,54,63,66,77,84,99,108,126,132,154,189,198,231,252,297,308,378,396,462,594,693,756,924,1188,1386,2079,2772,4158,8316

Greatest Common Factor

We found the factors 9123,8316 . The biggest common factor number is the GCF number.
So the greatest common factor 9123,8316 is 3.

Lets's calculate LCM of 195,422

Given numbers has no common factors except 1. So, there LCM is their product i.e 82290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/82290

Therefore, the GCF of Fractions 9123/195,8316/422 is 3/82290

Least Common Multiple of 195,422 with GCF Formula

Least Common Multiple of 195,422 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 195,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(195,422) = 1

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

GCF(195,422) x common factors =1 x 1 = 1

LCM(195,422) = ( 195 × 422 ) / 1

LCM(195,422) = 82290 / 1

LCM(195,422) = 82290


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 9123/195, 8316/422

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 9123/195, 8316/422?

Answer: GCF of Numerators as per given numbers 9123/195, 8316/422 is

GCF of Numerators i.e. for 9123,8316 is 3

LCM of denominators i.e. for 195,422 is 82290.

Thus, GCF of Fractions is 3/82290.Finally, GCF of Fractions for 9123/195, 8316/422 is 3/82290.