Use our free GCF of Fractions Calculator tool to compute the GCF of 433/566, 656/192 i.e 1/54336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 433/566, 656/192.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 433/566,656/192
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 433/566,656/192, numerators are 433,656
Denominators are 566,192
The GCF of 433,656 is 1 .
LCM of 566,192 is 54336.
The greatest common factor of 433/566,656/192 = [GCF of 433,656]/[LCM of 566,192]= 1/54336
Therefore, the GCF of 433/566,656/192 is 1/54336.
To find the highest common factor of 433,656, we have to find the factors of both numbers and list the highest common factor.
The factors of 433 are 1, 433
The factors of 656 are 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
The HCF of 433,656 is 1.
Lets's calculate GCF of 433,656
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 433
:1,433
Now, list down the factors of 656
:1,2,4,8,16,41,82,164,328,656
Greatest Common Factor
We found the factors 433,656 . The biggest common factor number is the GCF number.
So the greatest common factor 433,656 is 1.
Lets's calculate LCM of 566,192
2 | 566, 192 |
283, 96 |
∴ So the LCM of the given numbers is 2 x 283 x 96 = 54336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54336
Therefore, the GCF of Fractions 433/566,656/192 is 1/54336
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 566,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(566,192) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(566,192) x common factors =2 x 1 = 2
LCM(566,192) = ( 566 × 192 ) / 2
LCM(566,192) = 108672 / 2
LCM(566,192) = 54336
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 433,656?
The HCF of 433,656 is 1
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 433/566, 656/192?
Answer: GCF of Numerators as per given numbers 433/566, 656/192 is
GCF of Numerators i.e. for 433,656 is 1
LCM of denominators i.e. for 566,192 is 54336.
Thus, GCF of Fractions is 1/54336.Finally, GCF of Fractions for 433/566, 656/192 is 1/54336.