Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7293/595,2082/2568
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 7293,2082
Greatest Common Factor of Numerators i.e. GCF of 7293,2082 is 3 .
LCM of Denominators means LCM of 595,2568 as per the given fractions.
LCM of 595,2568 is 1527960 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7293,2082
3 | 7293, 2082 |
2431, 694 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 7293
List of positive integer factors of 7293 that divides 7293 without a remainder.
1,3,11,13,17,33,39,51,143,187,221,429,561,663,2431,7293
Factors of 2082
List of positive integer factors of 2082 that divides 2082 without a remainder.
1,2,3,6,347,694,1041,2082
Greatest Common Factor
We found the factors 7293,2082 . The biggest common factor number is the GCF number.
So the greatest common factor 7293,2082 is 3.
Lets's calculate LCM of 595,2568
Given numbers has no common factors except 1. So, there LCM is their product i.e 1527960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1527960
Therefore, the GCF of Fractions 7293/595,2082/2568 is 3/1527960
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 595,2568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(595,2568) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(595,2568) x common factors =1 x 1 = 1
LCM(595,2568) = ( 595 × 2568 ) / 1
LCM(595,2568) = 1527960 / 1
LCM(595,2568) = 1527960
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 7293/595, 2082/2568?
Answer: GCF of Numerators as per given numbers 7293/595, 2082/2568 is
GCF of Numerators i.e. for 7293,2082 is 3
LCM of denominators i.e. for 595,2568 is 1527960.
Thus, GCF of Fractions is 3/1527960.Finally, GCF of Fractions for 7293/595, 2082/2568 is 3/1527960.