Use our free GCF of Fractions Calculator tool to compute the GCF of 4415/459, 3962/9987 i.e 1/1528011 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4415/459, 3962/9987.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4415/459,3962/9987
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 4415/459,3962/9987, numerators are 4415,3962
Denominators are 459,9987
The GCF of 4415,3962 is 1 .
LCM of 459,9987 is 1528011.
The greatest common factor of 4415/459,3962/9987 = [GCF of 4415,3962]/[LCM of 459,9987]= 1/1528011
Therefore, the GCF of 4415/459,3962/9987 is 1/1528011.
To find the highest common factor of 4415,3962, we have to find the factors of both numbers and list the highest common factor.
The factors of 4415 are 1, 5, 883, 4415
The factors of 3962 are 1, 2, 7, 14, 283, 566, 1981, 3962
The HCF of 4415,3962 is 1.
Lets's calculate GCF of 4415,3962
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4415
:1,5,883,4415
Now, list down the factors of 3962
:1,2,7,14,283,566,1981,3962
Greatest Common Factor
We found the factors 4415,3962 . The biggest common factor number is the GCF number.
So the greatest common factor 4415,3962 is 1.
Lets's calculate LCM of 459,9987
3 | 459, 9987 |
153, 3329 |
∴ So the LCM of the given numbers is 3 x 153 x 3329 = 1528011
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1528011
Therefore, the GCF of Fractions 4415/459,3962/9987 is 1/1528011
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 459,9987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(459,9987) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(459,9987) x common factors =3 x 1 = 3
LCM(459,9987) = ( 459 × 9987 ) / 3
LCM(459,9987) = 4584033 / 3
LCM(459,9987) = 1528011
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4415,3962?
The HCF of 4415,3962 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 4415/459, 3962/9987?
Answer: GCF of Numerators as per given numbers 4415/459, 3962/9987 is
GCF of Numerators i.e. for 4415,3962 is 1
LCM of denominators i.e. for 459,9987 is 1528011.
Thus, GCF of Fractions is 1/1528011.Finally, GCF of Fractions for 4415/459, 3962/9987 is 1/1528011.