Use our free GCF of Fractions Calculator tool to compute the GCF of 566/999, 599/105 i.e 1/34965 easily. The following is the detailed procedure to determine the greatest common factor of fractions 566/999, 599/105.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 566/999,599/105
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 566/999,599/105, numerators are 566,599
Denominators are 999,105
The GCF of 566,599 is 1 .
LCM of 999,105 is 34965.
The greatest common factor of 566/999,599/105 = [GCF of 566,599]/[LCM of 999,105]= 1/34965
Therefore, the GCF of 566/999,599/105 is 1/34965.
To find the highest common factor of 566,599, 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 599 are 1, 599
The HCF of 566,599 is 1.
Lets's calculate GCF of 566,599
∴ 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 599
:1,599
Greatest Common Factor
We found the factors 566,599 . The biggest common factor number is the GCF number.
So the greatest common factor 566,599 is 1.
Lets's calculate LCM of 999,105
3 | 999, 105 |
333, 35 |
∴ So the LCM of the given numbers is 3 x 333 x 35 = 34965
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34965
Therefore, the GCF of Fractions 566/999,599/105 is 1/34965
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 999,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(999,105) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(999,105) x common factors =3 x 1 = 3
LCM(999,105) = ( 999 × 105 ) / 3
LCM(999,105) = 104895 / 3
LCM(999,105) = 34965
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 566,599?
The HCF of 566,599 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 566/999, 599/105?
Answer: GCF of Numerators as per given numbers 566/999, 599/105 is
GCF of Numerators i.e. for 566,599 is 1
LCM of denominators i.e. for 999,105 is 34965.
Thus, GCF of Fractions is 1/34965.Finally, GCF of Fractions for 566/999, 599/105 is 1/34965.