Use our free GCF of Fractions Calculator tool to compute the GCF of 466/411, 115/768 i.e 1/105216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 466/411, 115/768.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 466/411,115/768
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 466/411,115/768, numerators are 466,115
Denominators are 411,768
The GCF of 466,115 is 1 .
LCM of 411,768 is 105216.
The greatest common factor of 466/411,115/768 = [GCF of 466,115]/[LCM of 411,768]= 1/105216
Therefore, the GCF of 466/411,115/768 is 1/105216.
To find the highest common factor of 466,115, we have to find the factors of both numbers and list the highest common factor.
The factors of 466 are 1, 2, 233, 466
The factors of 115 are 1, 5, 23, 115
The HCF of 466,115 is 1.
Lets's calculate GCF of 466,115
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 466
:1,2,233,466
Now, list down the factors of 115
:1,5,23,115
Greatest Common Factor
We found the factors 466,115 . The biggest common factor number is the GCF number.
So the greatest common factor 466,115 is 1.
Lets's calculate LCM of 411,768
3 | 411, 768 |
137, 256 |
∴ So the LCM of the given numbers is 3 x 137 x 256 = 105216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105216
Therefore, the GCF of Fractions 466/411,115/768 is 1/105216
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 411,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(411,768) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(411,768) x common factors =3 x 1 = 3
LCM(411,768) = ( 411 × 768 ) / 3
LCM(411,768) = 315648 / 3
LCM(411,768) = 105216
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 466,115?
The HCF of 466,115 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 466/411, 115/768?
Answer: GCF of Numerators as per given numbers 466/411, 115/768 is
GCF of Numerators i.e. for 466,115 is 1
LCM of denominators i.e. for 411,768 is 105216.
Thus, GCF of Fractions is 1/105216.Finally, GCF of Fractions for 466/411, 115/768 is 1/105216.