Use our free GCF of Fractions Calculator tool to compute the GCF of 398/260, 426/662 i.e 2/86060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 398/260, 426/662.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 398/260,426/662
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 398/260,426/662, numerators are 398,426
Denominators are 260,662
The GCF of 398,426 is 2 .
LCM of 260,662 is 86060.
The greatest common factor of 398/260,426/662 = [GCF of 398,426]/[LCM of 260,662]= 2/86060
Therefore, the GCF of 398/260,426/662 is 2/86060.
To find the highest common factor of 398,426, we have to find the factors of both numbers and list the highest common factor.
The factors of 398 are 1, 2, 199, 398
The factors of 426 are 1, 2, 3, 6, 71, 142, 213, 426
The HCF of 398,426 is 2.
Lets's calculate GCF of 398,426
2 | 398, 426 |
199, 213 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 398
:1,2,199,398
Now, list down the factors of 426
:1,2,3,6,71,142,213,426
Greatest Common Factor
We found the factors 398,426 . The biggest common factor number is the GCF number.
So the greatest common factor 398,426 is 2.
Lets's calculate LCM of 260,662
2 | 260, 662 |
130, 331 |
∴ So the LCM of the given numbers is 2 x 130 x 331 = 86060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/86060
Therefore, the GCF of Fractions 398/260,426/662 is 2/86060
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 260,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(260,662) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(260,662) x common factors =2 x 1 = 2
LCM(260,662) = ( 260 × 662 ) / 2
LCM(260,662) = 172120 / 2
LCM(260,662) = 86060
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 398,426?
The HCF of 398,426 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 398/260, 426/662?
Answer: GCF of Numerators as per given numbers 398/260, 426/662 is
GCF of Numerators i.e. for 398,426 is 2
LCM of denominators i.e. for 260,662 is 86060.
Thus, GCF of Fractions is 2/86060.Finally, GCF of Fractions for 398/260, 426/662 is 2/86060.