Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2009/202,1504/6569
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 2009,1504
Greatest Common Factor of Numerators i.e. GCF of 2009,1504 is 1 .
LCM of Denominators means LCM of 202,6569 as per the given fractions.
LCM of 202,6569 is 1326938 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2009,1504
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2009
List of positive integer factors of 2009 that divides 2009 without a remainder.
1,7,41,49,287,2009
Factors of 1504
List of positive integer factors of 1504 that divides 1504 without a remainder.
1,2,4,8,16,32,47,94,188,376,752,1504
Greatest Common Factor
We found the factors 2009,1504 . The biggest common factor number is the GCF number.
So the greatest common factor 2009,1504 is 1.
Lets's calculate LCM of 202,6569
Given numbers has no common factors except 1. So, there LCM is their product i.e 1326938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1326938
Therefore, the GCF of Fractions 2009/202,1504/6569 is 1/1326938
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 202,6569 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,6569) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(202,6569) x common factors =1 x 1 = 1
LCM(202,6569) = ( 202 × 6569 ) / 1
LCM(202,6569) = 1326938 / 1
LCM(202,6569) = 1326938
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
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 2009/202, 1504/6569?
Answer: GCF of Numerators as per given numbers 2009/202, 1504/6569 is
GCF of Numerators i.e. for 2009,1504 is 1
LCM of denominators i.e. for 202,6569 is 1326938.
Thus, GCF of Fractions is 1/1326938.Finally, GCF of Fractions for 2009/202, 1504/6569 is 1/1326938.