Use our free GCF of Fractions Calculator tool to compute the GCF of 81/734, 36/8469 i.e 9/6216246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 81/734, 36/8469.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 81/734,36/8469
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 81/734,36/8469, numerators are 81,36
Denominators are 734,8469
The GCF of 81,36 is 9 .
LCM of 734,8469 is 6216246.
The greatest common factor of 81/734,36/8469 = [GCF of 81,36]/[LCM of 734,8469]= 9/6216246
Therefore, the GCF of 81/734,36/8469 is 9/6216246.
To find the highest common factor of 81,36, we have to find the factors of both numbers and list the highest common factor.
The factors of 81 are 1, 3, 9, 27, 81
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The HCF of 81,36 is 9.
Lets's calculate GCF of 81,36
3 | 81, 36 |
3 | 27, 12 |
9, 4 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 36
:1,2,3,4,6,9,12,18,36
Greatest Common Factor
We found the factors 81,36 . The biggest common factor number is the GCF number.
So the greatest common factor 81,36 is 9.
Lets's calculate LCM of 734,8469
Given numbers has no common factors except 1. So, there LCM is their product i.e 6216246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/6216246
Therefore, the GCF of Fractions 81/734,36/8469 is 9/6216246
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 734,8469 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,8469) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(734,8469) x common factors =1 x 1 = 1
LCM(734,8469) = ( 734 × 8469 ) / 1
LCM(734,8469) = 6216246 / 1
LCM(734,8469) = 6216246
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 81,36?
The HCF of 81,36 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 81/734, 36/8469?
Answer: GCF of Numerators as per given numbers 81/734, 36/8469 is
GCF of Numerators i.e. for 81,36 is 9
LCM of denominators i.e. for 734,8469 is 6216246.
Thus, GCF of Fractions is 9/6216246.Finally, GCF of Fractions for 81/734, 36/8469 is 9/6216246.