Use our free GCF of Fractions Calculator tool to compute the GCF of 17/324, 59/452, 728/324 i.e 1/36612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/324, 59/452, 728/324.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 17/324,59/452,728/324
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 17/324,59/452,728/324, numerators are 17,59,728
Denominators are 324,452,324
The GCF of 17,59,728 is 1 .
LCM of 324,452,324 is 36612.
The greatest common factor of 17/324,59/452,728/324 = [GCF of 17,59,728]/[LCM of 324,452,324]= 1/36612
Therefore, the GCF of 17/324,59/452,728/324 is 1/36612.
To find the highest common factor of 17,59,728, we have to find the factors of both numbers and list the highest common factor.
The factors of 17 are 1, 17
The factors of 59 are 1, 59
The factors of 728 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
The HCF of 17,59,728 is 1.
Lets's calculate GCF of 17,59,728
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 17
:1,17
Now, list down the factors of 59
:1,59
Now, list down the factors of 728
:1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Greatest Common Factor
We found the factors 17,59,728 . The biggest common factor number is the GCF number.
So the greatest common factor 17,59,728 is 1.
Lets's calculate LCM of 324,452,324
2 | 324, 452, 324 |
2 | 162, 226, 162 |
3 | 81, 113, 81 |
3 | 27, 113, 27 |
3 | 9, 113, 9 |
3 | 3, 113, 3 |
1, 113, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 3 x 1 x 113 x 1 = 36612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36612
Therefore, the GCF of Fractions 17/324,59/452,728/324 is 1/36612
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 324,452,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,452,324) = 4
common factors(in case of two or more numbers have common factors) = 324
GCF(324,452,324) x common factors =4 x 324 = 1296
LCM(324,452,324) = ( 324 × 452 × 324 ) / 1296
LCM(324,452,324) = 47449152 / 1296
LCM(324,452,324) = 36612
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 17,59,728?
The HCF of 17,59,728 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 17/324, 59/452, 728/324?
Answer: GCF of Numerators as per given numbers 17/324, 59/452, 728/324 is
GCF of Numerators i.e. for 17,59,728 is 1
LCM of denominators i.e. for 324,452,324 is 36612.
Thus, GCF of Fractions is 1/36612.Finally, GCF of Fractions for 17/324, 59/452, 728/324 is 1/36612.