Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3809/38,4800/181
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 3809,4800
Greatest Common Factor of Numerators i.e. GCF of 3809,4800 is 1 .
LCM of Denominators means LCM of 38,181 as per the given fractions.
LCM of 38,181 is 6878 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3809,4800
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3809
List of positive integer factors of 3809 that divides 3809 without a remainder.
1,13,293,3809
Factors of 4800
List of positive integer factors of 4800 that divides 4800 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,32,40,48,50,60,64,75,80,96,100,120,150,160,192,200,240,300,320,400,480,600,800,960,1200,1600,2400,4800
Greatest Common Factor
We found the factors 3809,4800 . The biggest common factor number is the GCF number.
So the greatest common factor 3809,4800 is 1.
Lets's calculate LCM of 38,181
Given numbers has no common factors except 1. So, there LCM is their product i.e 6878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6878
Therefore, the GCF of Fractions 3809/38,4800/181 is 1/6878
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 38,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,181) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,181) x common factors =1 x 1 = 1
LCM(38,181) = ( 38 × 181 ) / 1
LCM(38,181) = 6878 / 1
LCM(38,181) = 6878
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 3809/38, 4800/181?
Answer: GCF of Numerators as per given numbers 3809/38, 4800/181 is
GCF of Numerators i.e. for 3809,4800 is 1
LCM of denominators i.e. for 38,181 is 6878.
Thus, GCF of Fractions is 1/6878.Finally, GCF of Fractions for 3809/38, 4800/181 is 1/6878.