Use our free GCF of Fractions Calculator tool to compute the GCF of 729/325, 216/237 i.e 27/77025 easily. The following is the detailed procedure to determine the greatest common factor of fractions 729/325, 216/237.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 729/325,216/237
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 729/325,216/237, numerators are 729,216
Denominators are 325,237
The GCF of 729,216 is 27 .
LCM of 325,237 is 77025.
The greatest common factor of 729/325,216/237 = [GCF of 729,216]/[LCM of 325,237]= 27/77025
Therefore, the GCF of 729/325,216/237 is 27/77025.
To find the highest common factor of 729,216, we have to find the factors of both numbers and list the highest common factor.
The factors of 729 are 1, 3, 9, 27, 81, 243, 729
The factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
The HCF of 729,216 is 27.
Lets's calculate GCF of 729,216
3 | 729, 216 |
3 | 243, 72 |
3 | 81, 24 |
27, 8 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Now, list down the factors of 729
:1,3,9,27,81,243,729
Now, list down the factors of 216
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Greatest Common Factor
We found the factors 729,216 . The biggest common factor number is the GCF number.
So the greatest common factor 729,216 is 27.
Lets's calculate LCM of 325,237
Given numbers has no common factors except 1. So, there LCM is their product i.e 77025
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/77025
Therefore, the GCF of Fractions 729/325,216/237 is 27/77025
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 325,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(325,237) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(325,237) x common factors =1 x 1 = 1
LCM(325,237) = ( 325 × 237 ) / 1
LCM(325,237) = 77025 / 1
LCM(325,237) = 77025
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 729,216?
The HCF of 729,216 is 27
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 729/325, 216/237?
Answer: GCF of Numerators as per given numbers 729/325, 216/237 is
GCF of Numerators i.e. for 729,216 is 27
LCM of denominators i.e. for 325,237 is 77025.
Thus, GCF of Fractions is 27/77025.Finally, GCF of Fractions for 729/325, 216/237 is 27/77025.