Use our free GCF of Fractions Calculator tool to compute the GCF of 446/512, 388/568 i.e 2/36352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 446/512, 388/568.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 446/512,388/568
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 446/512,388/568, numerators are 446,388
Denominators are 512,568
The GCF of 446,388 is 2 .
LCM of 512,568 is 36352.
The greatest common factor of 446/512,388/568 = [GCF of 446,388]/[LCM of 512,568]= 2/36352
Therefore, the GCF of 446/512,388/568 is 2/36352.
To find the highest common factor of 446,388, we have to find the factors of both numbers and list the highest common factor.
The factors of 446 are 1, 2, 223, 446
The factors of 388 are 1, 2, 4, 97, 194, 388
The HCF of 446,388 is 2.
Lets's calculate GCF of 446,388
2 | 446, 388 |
223, 194 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 446
:1,2,223,446
Now, list down the factors of 388
:1,2,4,97,194,388
Greatest Common Factor
We found the factors 446,388 . The biggest common factor number is the GCF number.
So the greatest common factor 446,388 is 2.
Lets's calculate LCM of 512,568
2 | 512, 568 |
2 | 256, 284 |
2 | 128, 142 |
64, 71 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 64 x 71 = 36352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/36352
Therefore, the GCF of Fractions 446/512,388/568 is 2/36352
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 512,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,568) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(512,568) x common factors =8 x 1 = 8
LCM(512,568) = ( 512 × 568 ) / 8
LCM(512,568) = 290816 / 8
LCM(512,568) = 36352
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 446,388?
The HCF of 446,388 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 446/512, 388/568?
Answer: GCF of Numerators as per given numbers 446/512, 388/568 is
GCF of Numerators i.e. for 446,388 is 2
LCM of denominators i.e. for 512,568 is 36352.
Thus, GCF of Fractions is 2/36352.Finally, GCF of Fractions for 446/512, 388/568 is 2/36352.