Use our free GCF of Fractions Calculator tool to compute the GCF of 399/806, 994/704 i.e 7/283712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 399/806, 994/704.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 399/806,994/704
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 399/806,994/704, numerators are 399,994
Denominators are 806,704
The GCF of 399,994 is 7 .
LCM of 806,704 is 283712.
The greatest common factor of 399/806,994/704 = [GCF of 399,994]/[LCM of 806,704]= 7/283712
Therefore, the GCF of 399/806,994/704 is 7/283712.
To find the highest common factor of 399,994, we have to find the factors of both numbers and list the highest common factor.
The factors of 399 are 1, 3, 7, 19, 21, 57, 133, 399
The factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994
The HCF of 399,994 is 7.
Lets's calculate GCF of 399,994
7 | 399, 994 |
57, 142 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 399
:1,3,7,19,21,57,133,399
Now, list down the factors of 994
:1,2,7,14,71,142,497,994
Greatest Common Factor
We found the factors 399,994 . The biggest common factor number is the GCF number.
So the greatest common factor 399,994 is 7.
Lets's calculate LCM of 806,704
2 | 806, 704 |
403, 352 |
∴ So the LCM of the given numbers is 2 x 403 x 352 = 283712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/283712
Therefore, the GCF of Fractions 399/806,994/704 is 7/283712
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 806,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,704) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(806,704) x common factors =2 x 1 = 2
LCM(806,704) = ( 806 × 704 ) / 2
LCM(806,704) = 567424 / 2
LCM(806,704) = 283712
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 399,994?
The HCF of 399,994 is 7
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 399/806, 994/704?
Answer: GCF of Numerators as per given numbers 399/806, 994/704 is
GCF of Numerators i.e. for 399,994 is 7
LCM of denominators i.e. for 806,704 is 283712.
Thus, GCF of Fractions is 7/283712.Finally, GCF of Fractions for 399/806, 994/704 is 7/283712.