Use our free GCF of Fractions Calculator tool to compute the GCF of 566/438, 313/729 i.e 1/106434 easily. The following is the detailed procedure to determine the greatest common factor of fractions 566/438, 313/729.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 566/438,313/729
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 566/438,313/729, numerators are 566,313
Denominators are 438,729
The GCF of 566,313 is 1 .
LCM of 438,729 is 106434.
The greatest common factor of 566/438,313/729 = [GCF of 566,313]/[LCM of 438,729]= 1/106434
Therefore, the GCF of 566/438,313/729 is 1/106434.
To find the highest common factor of 566,313, we have to find the factors of both numbers and list the highest common factor.
The factors of 566 are 1, 2, 283, 566
The factors of 313 are 1, 313
The HCF of 566,313 is 1.
Lets's calculate GCF of 566,313
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 566
:1,2,283,566
Now, list down the factors of 313
:1,313
Greatest Common Factor
We found the factors 566,313 . The biggest common factor number is the GCF number.
So the greatest common factor 566,313 is 1.
Lets's calculate LCM of 438,729
3 | 438, 729 |
146, 243 |
∴ So the LCM of the given numbers is 3 x 146 x 243 = 106434
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106434
Therefore, the GCF of Fractions 566/438,313/729 is 1/106434
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 438,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,729) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(438,729) x common factors =3 x 1 = 3
LCM(438,729) = ( 438 × 729 ) / 3
LCM(438,729) = 319302 / 3
LCM(438,729) = 106434
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 566,313?
The HCF of 566,313 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 566/438, 313/729?
Answer: GCF of Numerators as per given numbers 566/438, 313/729 is
GCF of Numerators i.e. for 566,313 is 1
LCM of denominators i.e. for 438,729 is 106434.
Thus, GCF of Fractions is 1/106434.Finally, GCF of Fractions for 566/438, 313/729 is 1/106434.