Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 15/501,3612/8243
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 15,3612
Greatest Common Factor of Numerators i.e. GCF of 15,3612 is 3 .
LCM of Denominators means LCM of 501,8243 as per the given fractions.
LCM of 501,8243 is 4129743 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 15,3612
3 | 15, 3612 |
5, 1204 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 3612
List of positive integer factors of 3612 that divides 3612 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,43,84,86,129,172,258,301,516,602,903,1204,1806,3612
Greatest Common Factor
We found the factors 15,3612 . The biggest common factor number is the GCF number.
So the greatest common factor 15,3612 is 3.
Lets's calculate LCM of 501,8243
Given numbers has no common factors except 1. So, there LCM is their product i.e 4129743
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4129743
Therefore, the GCF of Fractions 15/501,3612/8243 is 3/4129743
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 501,8243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(501,8243) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(501,8243) x common factors =1 x 1 = 1
LCM(501,8243) = ( 501 × 8243 ) / 1
LCM(501,8243) = 4129743 / 1
LCM(501,8243) = 4129743
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 15/501, 3612/8243?
Answer: GCF of Numerators as per given numbers 15/501, 3612/8243 is
GCF of Numerators i.e. for 15,3612 is 3
LCM of denominators i.e. for 501,8243 is 4129743.
Thus, GCF of Fractions is 3/4129743.Finally, GCF of Fractions for 15/501, 3612/8243 is 3/4129743.