Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6665/12,2885/388
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 6665,2885
Greatest Common Factor of Numerators i.e. GCF of 6665,2885 is 5 .
LCM of Denominators means LCM of 12,388 as per the given fractions.
LCM of 12,388 is 1164 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6665,2885
5 | 6665, 2885 |
1333, 577 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 6665
List of positive integer factors of 6665 that divides 6665 without a remainder.
1,5,31,43,155,215,1333,6665
Factors of 2885
List of positive integer factors of 2885 that divides 2885 without a remainder.
1,5,577,2885
Greatest Common Factor
We found the factors 6665,2885 . The biggest common factor number is the GCF number.
So the greatest common factor 6665,2885 is 5.
Lets's calculate LCM of 12,388
2 | 12, 388 |
2 | 6, 194 |
3, 97 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 97 = 1164
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1164
Therefore, the GCF of Fractions 6665/12,2885/388 is 5/1164
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 12,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,388) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(12,388) x common factors =4 x 1 = 4
LCM(12,388) = ( 12 × 388 ) / 4
LCM(12,388) = 4656 / 4
LCM(12,388) = 1164
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 6665/12, 2885/388?
Answer: GCF of Numerators as per given numbers 6665/12, 2885/388 is
GCF of Numerators i.e. for 6665,2885 is 5
LCM of denominators i.e. for 12,388 is 1164.
Thus, GCF of Fractions is 5/1164.Finally, GCF of Fractions for 6665/12, 2885/388 is 5/1164.