Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3109/39,8388/427
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 3109,8388
Greatest Common Factor of Numerators i.e. GCF of 3109,8388 is 1 .
LCM of Denominators means LCM of 39,427 as per the given fractions.
LCM of 39,427 is 16653 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3109,8388
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3109
List of positive integer factors of 3109 that divides 3109 without a remainder.
1,3109
Factors of 8388
List of positive integer factors of 8388 that divides 8388 without a remainder.
1,2,3,4,6,9,12,18,36,233,466,699,932,1398,2097,2796,4194,8388
Greatest Common Factor
We found the factors 3109,8388 . The biggest common factor number is the GCF number.
So the greatest common factor 3109,8388 is 1.
Lets's calculate LCM of 39,427
Given numbers has no common factors except 1. So, there LCM is their product i.e 16653
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16653
Therefore, the GCF of Fractions 3109/39,8388/427 is 1/16653
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 39,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,427) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,427) x common factors =1 x 1 = 1
LCM(39,427) = ( 39 × 427 ) / 1
LCM(39,427) = 16653 / 1
LCM(39,427) = 16653
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 3109/39, 8388/427?
Answer: GCF of Numerators as per given numbers 3109/39, 8388/427 is
GCF of Numerators i.e. for 3109,8388 is 1
LCM of denominators i.e. for 39,427 is 16653.
Thus, GCF of Fractions is 1/16653.Finally, GCF of Fractions for 3109/39, 8388/427 is 1/16653.