Greatest Common Factor of 3297/209, 2947/999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3297/209, 2947/999

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 3297/209,2947/999

Given fractions are 3297/209,2947/999

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 3297,2947

Greatest Common Factor of Numerators i.e. GCF of 3297,2947 is 7 .

LCM of Denominators means LCM of 209,999 as per the given fractions.

LCM of 209,999 is 208791 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3297,2947

GCF of Fractions 3297/209,2947/999 is 7/208791

7 3297, 2947
471, 421

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 3297,2947 By Matching Biggest Common Factor Method

Greatest Common Factor of 3297,2947 By Matching Biggest Common Factor Method

Factors of 3297

List of positive integer factors of 3297 that divides 3297 without a remainder.

1,3,7,21,157,471,1099,3297

Factors of 2947

List of positive integer factors of 2947 that divides 2947 without a remainder.

1,7,421,2947

Greatest Common Factor

We found the factors 3297,2947 . The biggest common factor number is the GCF number.
So the greatest common factor 3297,2947 is 7.

Lets's calculate LCM of 209,999

Given numbers has no common factors except 1. So, there LCM is their product i.e 208791

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/208791

Therefore, the GCF of Fractions 3297/209,2947/999 is 7/208791

Least Common Multiple of 209,999 with GCF Formula

Least Common Multiple of 209,999 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 209,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(209,999) = 1

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

GCF(209,999) x common factors =1 x 1 = 1

LCM(209,999) = ( 209 × 999 ) / 1

LCM(209,999) = 208791 / 1

LCM(209,999) = 208791


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 3297/209, 2947/999

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 3297/209, 2947/999?

Answer: GCF of Numerators as per given numbers 3297/209, 2947/999 is

GCF of Numerators i.e. for 3297,2947 is 7

LCM of denominators i.e. for 209,999 is 208791.

Thus, GCF of Fractions is 7/208791.Finally, GCF of Fractions for 3297/209, 2947/999 is 7/208791.