Use our free GCF of Fractions Calculator tool to compute the GCF of 518/891, 474/258 i.e 2/76626 easily. The following is the detailed procedure to determine the greatest common factor of fractions 518/891, 474/258.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 518/891,474/258
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 518/891,474/258, numerators are 518,474
Denominators are 891,258
The GCF of 518,474 is 2 .
LCM of 891,258 is 76626.
The greatest common factor of 518/891,474/258 = [GCF of 518,474]/[LCM of 891,258]= 2/76626
Therefore, the GCF of 518/891,474/258 is 2/76626.
To find the highest common factor of 518,474, we have to find the factors of both numbers and list the highest common factor.
The factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518
The factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474
The HCF of 518,474 is 2.
Lets's calculate GCF of 518,474
2 | 518, 474 |
259, 237 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 518
:1,2,7,14,37,74,259,518
Now, list down the factors of 474
:1,2,3,6,79,158,237,474
Greatest Common Factor
We found the factors 518,474 . The biggest common factor number is the GCF number.
So the greatest common factor 518,474 is 2.
Lets's calculate LCM of 891,258
3 | 891, 258 |
297, 86 |
∴ So the LCM of the given numbers is 3 x 297 x 86 = 76626
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/76626
Therefore, the GCF of Fractions 518/891,474/258 is 2/76626
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 891,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(891,258) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(891,258) x common factors =3 x 1 = 3
LCM(891,258) = ( 891 × 258 ) / 3
LCM(891,258) = 229878 / 3
LCM(891,258) = 76626
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 518,474?
The HCF of 518,474 is 2
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 518/891, 474/258?
Answer: GCF of Numerators as per given numbers 518/891, 474/258 is
GCF of Numerators i.e. for 518,474 is 2
LCM of denominators i.e. for 891,258 is 76626.
Thus, GCF of Fractions is 2/76626.Finally, GCF of Fractions for 518/891, 474/258 is 2/76626.