Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8180/303,4517/9987
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 8180,4517
Greatest Common Factor of Numerators i.e. GCF of 8180,4517 is 1 .
LCM of Denominators means LCM of 303,9987 as per the given fractions.
LCM of 303,9987 is 1008687 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8180,4517
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8180
List of positive integer factors of 8180 that divides 8180 without a remainder.
1,2,4,5,10,20,409,818,1636,2045,4090,8180
Factors of 4517
List of positive integer factors of 4517 that divides 4517 without a remainder.
1,4517
Greatest Common Factor
We found the factors 8180,4517 . The biggest common factor number is the GCF number.
So the greatest common factor 8180,4517 is 1.
Lets's calculate LCM of 303,9987
3 | 303, 9987 |
101, 3329 |
∴ So the LCM of the given numbers is 3 x 101 x 3329 = 1008687
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1008687
Therefore, the GCF of Fractions 8180/303,4517/9987 is 1/1008687
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 303,9987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(303,9987) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(303,9987) x common factors =3 x 1 = 3
LCM(303,9987) = ( 303 × 9987 ) / 3
LCM(303,9987) = 3026061 / 3
LCM(303,9987) = 1008687
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 8180/303, 4517/9987?
Answer: GCF of Numerators as per given numbers 8180/303, 4517/9987 is
GCF of Numerators i.e. for 8180,4517 is 1
LCM of denominators i.e. for 303,9987 is 1008687.
Thus, GCF of Fractions is 1/1008687.Finally, GCF of Fractions for 8180/303, 4517/9987 is 1/1008687.