Use our free GCF of Fractions Calculator tool to compute the GCF of 27/81, 900/43, 522/455 i.e 9/1584765 easily. The following is the detailed procedure to determine the greatest common factor of fractions 27/81, 900/43, 522/455.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 27/81,900/43,522/455
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 27/81,900/43,522/455, numerators are 27,900,522
Denominators are 81,43,455
The GCF of 27,900,522 is 9 .
LCM of 81,43,455 is 1584765.
The greatest common factor of 27/81,900/43,522/455 = [GCF of 27,900,522]/[LCM of 81,43,455]= 9/1584765
Therefore, the GCF of 27/81,900/43,522/455 is 9/1584765.
To find the highest common factor of 27,900,522, we have to find the factors of both numbers and list the highest common factor.
The factors of 27 are 1, 3, 9, 27
The factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
The factors of 522 are 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
The HCF of 27,900,522 is 9.
Lets's calculate GCF of 27,900,522
3 | 27, 900, 522 |
3 | 9, 300, 174 |
3, 100, 58 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Now, list down the factors of 27
:1,3,9,27
Now, list down the factors of 900
:1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Now, list down the factors of 522
:1,2,3,6,9,18,29,58,87,174,261,522
Greatest Common Factor
We found the factors 27,900,522 . The biggest common factor number is the GCF number.
So the greatest common factor 27,900,522 is 9.
Lets's calculate LCM of 81,43,455
Given numbers has no common factors except 1. So, there LCM is their product i.e 1584765
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1584765
Therefore, the GCF of Fractions 27/81,900/43,522/455 is 9/1584765
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 81,43,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,43,455) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,43,455) x common factors =1 x 1 = 1
LCM(81,43,455) = ( 81 × 43 × 455 ) / 1
LCM(81,43,455) = 1584765 / 1
LCM(81,43,455) = 1584765
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 27,900,522?
The HCF of 27,900,522 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 27/81, 900/43, 522/455?
Answer: GCF of Numerators as per given numbers 27/81, 900/43, 522/455 is
GCF of Numerators i.e. for 27,900,522 is 9
LCM of denominators i.e. for 81,43,455 is 1584765.
Thus, GCF of Fractions is 9/1584765.Finally, GCF of Fractions for 27/81, 900/43, 522/455 is 9/1584765.