Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 288/64,717/4012
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 288,717
Greatest Common Factor of Numerators i.e. GCF of 288,717 is 3 .
LCM of Denominators means LCM of 64,4012 as per the given fractions.
LCM of 64,4012 is 64192 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 288,717
3 | 288, 717 |
96, 239 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 288
List of positive integer factors of 288 that divides 288 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Factors of 717
List of positive integer factors of 717 that divides 717 without a remainder.
1,3,239,717
Greatest Common Factor
We found the factors 288,717 . The biggest common factor number is the GCF number.
So the greatest common factor 288,717 is 3.
Lets's calculate LCM of 64,4012
2 | 64, 4012 |
2 | 32, 2006 |
16, 1003 |
∴ So the LCM of the given numbers is 2 x 2 x 16 x 1003 = 64192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/64192
Therefore, the GCF of Fractions 288/64,717/4012 is 3/64192
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 64,4012 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,4012) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(64,4012) x common factors =4 x 1 = 4
LCM(64,4012) = ( 64 × 4012 ) / 4
LCM(64,4012) = 256768 / 4
LCM(64,4012) = 64192
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 288/64, 717/4012?
Answer: GCF of Numerators as per given numbers 288/64, 717/4012 is
GCF of Numerators i.e. for 288,717 is 3
LCM of denominators i.e. for 64,4012 is 64192.
Thus, GCF of Fractions is 3/64192.Finally, GCF of Fractions for 288/64, 717/4012 is 3/64192.