Use our free GCF of Fractions Calculator tool to compute the GCF of 324/58, 261/652 i.e 9/18908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 324/58, 261/652.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 324/58,261/652
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 324/58,261/652, numerators are 324,261
Denominators are 58,652
The GCF of 324,261 is 9 .
LCM of 58,652 is 18908.
The greatest common factor of 324/58,261/652 = [GCF of 324,261]/[LCM of 58,652]= 9/18908
Therefore, the GCF of 324/58,261/652 is 9/18908.
To find the highest common factor of 324,261, we have to find the factors of both numbers and list the highest common factor.
The factors of 324 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
The factors of 261 are 1, 3, 9, 29, 87, 261
The HCF of 324,261 is 9.
Lets's calculate GCF of 324,261
3 | 324, 261 |
3 | 108, 87 |
36, 29 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Now, list down the factors of 324
:1,2,3,4,6,9,12,18,27,36,54,81,108,162,324
Now, list down the factors of 261
:1,3,9,29,87,261
Greatest Common Factor
We found the factors 324,261 . The biggest common factor number is the GCF number.
So the greatest common factor 324,261 is 9.
Lets's calculate LCM of 58,652
2 | 58, 652 |
29, 326 |
∴ So the LCM of the given numbers is 2 x 29 x 326 = 18908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/18908
Therefore, the GCF of Fractions 324/58,261/652 is 9/18908
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 58,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,652) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(58,652) x common factors =2 x 1 = 2
LCM(58,652) = ( 58 × 652 ) / 2
LCM(58,652) = 37816 / 2
LCM(58,652) = 18908
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 324,261?
The HCF of 324,261 is 9
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 324/58, 261/652?
Answer: GCF of Numerators as per given numbers 324/58, 261/652 is
GCF of Numerators i.e. for 324,261 is 9
LCM of denominators i.e. for 58,652 is 18908.
Thus, GCF of Fractions is 9/18908.Finally, GCF of Fractions for 324/58, 261/652 is 9/18908.