Greatest Common Factor of 3207/99, 9219/362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3207/99, 9219/362

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 3207/99,9219/362

Given fractions are 3207/99,9219/362

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 3207,9219

Greatest Common Factor of Numerators i.e. GCF of 3207,9219 is 3 .

LCM of Denominators means LCM of 99,362 as per the given fractions.

LCM of 99,362 is 35838 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3207,9219

GCF of Fractions 3207/99,9219/362 is 3/35838

3 3207, 9219
1069, 3073

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

Greatest Common Factor of 3207,9219 By Matching Biggest Common Factor Method

Greatest Common Factor of 3207,9219 By Matching Biggest Common Factor Method

Factors of 3207

List of positive integer factors of 3207 that divides 3207 without a remainder.

1,3,1069,3207

Factors of 9219

List of positive integer factors of 9219 that divides 9219 without a remainder.

1,3,7,21,439,1317,3073,9219

Greatest Common Factor

We found the factors 3207,9219 . The biggest common factor number is the GCF number.
So the greatest common factor 3207,9219 is 3.

Lets's calculate LCM of 99,362

Given numbers has no common factors except 1. So, there LCM is their product i.e 35838

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/35838

Therefore, the GCF of Fractions 3207/99,9219/362 is 3/35838

Least Common Multiple of 99,362 with GCF Formula

Least Common Multiple of 99,362 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 99,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,362) = 1

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

GCF(99,362) x common factors =1 x 1 = 1

LCM(99,362) = ( 99 × 362 ) / 1

LCM(99,362) = 35838 / 1

LCM(99,362) = 35838


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 3207/99, 9219/362

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 3207/99, 9219/362?

Answer: GCF of Numerators as per given numbers 3207/99, 9219/362 is

GCF of Numerators i.e. for 3207,9219 is 3

LCM of denominators i.e. for 99,362 is 35838.

Thus, GCF of Fractions is 3/35838.Finally, GCF of Fractions for 3207/99, 9219/362 is 3/35838.