Use our free GCF of Fractions Calculator tool to compute the GCF of 439/981, 464/258 i.e 1/84366 easily. The following is the detailed procedure to determine the greatest common factor of fractions 439/981, 464/258.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 439/981,464/258
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 439/981,464/258, numerators are 439,464
Denominators are 981,258
The GCF of 439,464 is 1 .
LCM of 981,258 is 84366.
The greatest common factor of 439/981,464/258 = [GCF of 439,464]/[LCM of 981,258]= 1/84366
Therefore, the GCF of 439/981,464/258 is 1/84366.
To find the highest common factor of 439,464, we have to find the factors of both numbers and list the highest common factor.
The factors of 439 are 1, 439
The factors of 464 are 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
The HCF of 439,464 is 1.
Lets's calculate GCF of 439,464
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 439
:1,439
Now, list down the factors of 464
:1,2,4,8,16,29,58,116,232,464
Greatest Common Factor
We found the factors 439,464 . The biggest common factor number is the GCF number.
So the greatest common factor 439,464 is 1.
Lets's calculate LCM of 981,258
3 | 981, 258 |
327, 86 |
∴ So the LCM of the given numbers is 3 x 327 x 86 = 84366
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84366
Therefore, the GCF of Fractions 439/981,464/258 is 1/84366
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 981,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(981,258) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(981,258) x common factors =3 x 1 = 3
LCM(981,258) = ( 981 × 258 ) / 3
LCM(981,258) = 253098 / 3
LCM(981,258) = 84366
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 439,464?
The HCF of 439,464 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 439/981, 464/258?
Answer: GCF of Numerators as per given numbers 439/981, 464/258 is
GCF of Numerators i.e. for 439,464 is 1
LCM of denominators i.e. for 981,258 is 84366.
Thus, GCF of Fractions is 1/84366.Finally, GCF of Fractions for 439/981, 464/258 is 1/84366.