Use our free GCF of Fractions Calculator tool to compute the GCF of 81/59, 225/43, 913/563 i.e 1/1428331 easily. The following is the detailed procedure to determine the greatest common factor of fractions 81/59, 225/43, 913/563.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 81/59,225/43,913/563
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 81/59,225/43,913/563, numerators are 81,225,913
Denominators are 59,43,563
The GCF of 81,225,913 is 1 .
LCM of 59,43,563 is 1428331.
The greatest common factor of 81/59,225/43,913/563 = [GCF of 81,225,913]/[LCM of 59,43,563]= 1/1428331
Therefore, the GCF of 81/59,225/43,913/563 is 1/1428331.
To find the highest common factor of 81,225,913, 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 225 are 1, 3, 5, 9, 15, 25, 45, 75, 225
The factors of 913 are 1, 11, 83, 913
The HCF of 81,225,913 is 1.
Lets's calculate GCF of 81,225,913
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 225
:1,3,5,9,15,25,45,75,225
Now, list down the factors of 913
:1,11,83,913
Greatest Common Factor
We found the factors 81,225,913 . The biggest common factor number is the GCF number.
So the greatest common factor 81,225,913 is 1.
Lets's calculate LCM of 59,43,563
Given numbers has no common factors except 1. So, there LCM is their product i.e 1428331
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1428331
Therefore, the GCF of Fractions 81/59,225/43,913/563 is 1/1428331
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 59,43,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,43,563) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,43,563) x common factors =1 x 1 = 1
LCM(59,43,563) = ( 59 × 43 × 563 ) / 1
LCM(59,43,563) = 1428331 / 1
LCM(59,43,563) = 1428331
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 81,225,913?
The HCF of 81,225,913 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 81/59, 225/43, 913/563?
Answer: GCF of Numerators as per given numbers 81/59, 225/43, 913/563 is
GCF of Numerators i.e. for 81,225,913 is 1
LCM of denominators i.e. for 59,43,563 is 1428331.
Thus, GCF of Fractions is 1/1428331.Finally, GCF of Fractions for 81/59, 225/43, 913/563 is 1/1428331.