Use our free GCF of Fractions Calculator tool to compute the GCF of 11/82, 594/99, 286/321 i.e 11/868626 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/82, 594/99, 286/321.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 11/82,594/99,286/321
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 11/82,594/99,286/321, numerators are 11,594,286
Denominators are 82,99,321
The GCF of 11,594,286 is 11 .
LCM of 82,99,321 is 868626.
The greatest common factor of 11/82,594/99,286/321 = [GCF of 11,594,286]/[LCM of 82,99,321]= 11/868626
Therefore, the GCF of 11/82,594/99,286/321 is 11/868626.
To find the highest common factor of 11,594,286, we have to find the factors of both numbers and list the highest common factor.
The factors of 11 are 1, 11
The factors of 594 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
The factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286
The HCF of 11,594,286 is 11.
Lets's calculate GCF of 11,594,286
11 | 11, 594, 286 |
1, 54, 26 |
∴ So the GCF of the given numbers is 11 = 11
Now, list down the factors of 11
:1,11
Now, list down the factors of 594
:1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Now, list down the factors of 286
:1,2,11,13,22,26,143,286
Greatest Common Factor
We found the factors 11,594,286 . The biggest common factor number is the GCF number.
So the greatest common factor 11,594,286 is 11.
Lets's calculate LCM of 82,99,321
3 | 82, 99, 321 |
82, 33, 107 |
∴ So the LCM of the given numbers is 3 x 82 x 33 x 107 = 868626
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/868626
Therefore, the GCF of Fractions 11/82,594/99,286/321 is 11/868626
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 82,99,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,99,321) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(82,99,321) x common factors =1 x 3 = 3
LCM(82,99,321) = ( 82 × 99 × 321 ) / 3
LCM(82,99,321) = 2605878 / 3
LCM(82,99,321) = 868626
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 11,594,286?
The HCF of 11,594,286 is 11
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 11/82, 594/99, 286/321?
Answer: GCF of Numerators as per given numbers 11/82, 594/99, 286/321 is
GCF of Numerators i.e. for 11,594,286 is 11
LCM of denominators i.e. for 82,99,321 is 868626.
Thus, GCF of Fractions is 11/868626.Finally, GCF of Fractions for 11/82, 594/99, 286/321 is 11/868626.