Use our free GCF of Fractions Calculator tool to compute the GCF of 741/324, 7997/6372 i.e 1/19116 easily. The following is the detailed procedure to determine the greatest common factor of fractions 741/324, 7997/6372.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 741/324,7997/6372
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 741/324,7997/6372, numerators are 741,7997
Denominators are 324,6372
The GCF of 741,7997 is 1 .
LCM of 324,6372 is 19116.
The greatest common factor of 741/324,7997/6372 = [GCF of 741,7997]/[LCM of 324,6372]= 1/19116
Therefore, the GCF of 741/324,7997/6372 is 1/19116.
To find the highest common factor of 741,7997, we have to find the factors of both numbers and list the highest common factor.
The factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741
The factors of 7997 are 1, 11, 727, 7997
The HCF of 741,7997 is 1.
Lets's calculate GCF of 741,7997
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 741
:1,3,13,19,39,57,247,741
Now, list down the factors of 7997
:1,11,727,7997
Greatest Common Factor
We found the factors 741,7997 . The biggest common factor number is the GCF number.
So the greatest common factor 741,7997 is 1.
Lets's calculate LCM of 324,6372
2 | 324, 6372 |
2 | 162, 3186 |
3 | 81, 1593 |
3 | 27, 531 |
3 | 9, 177 |
3, 59 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 3 x 59 = 19116
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19116
Therefore, the GCF of Fractions 741/324,7997/6372 is 1/19116
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 324,6372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,6372) = 108
common factors(in case of two or more numbers have common factors) = 1
GCF(324,6372) x common factors =108 x 1 = 108
LCM(324,6372) = ( 324 × 6372 ) / 108
LCM(324,6372) = 2064528 / 108
LCM(324,6372) = 19116
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 741,7997?
The HCF of 741,7997 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 741/324, 7997/6372?
Answer: GCF of Numerators as per given numbers 741/324, 7997/6372 is
GCF of Numerators i.e. for 741,7997 is 1
LCM of denominators i.e. for 324,6372 is 19116.
Thus, GCF of Fractions is 1/19116.Finally, GCF of Fractions for 741/324, 7997/6372 is 1/19116.