Use our free GCF of Fractions Calculator tool to compute the GCF of 444/505, 811/249 i.e 1/125745 easily. The following is the detailed procedure to determine the greatest common factor of fractions 444/505, 811/249.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 444/505,811/249
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 444/505,811/249, numerators are 444,811
Denominators are 505,249
The GCF of 444,811 is 1 .
LCM of 505,249 is 125745.
The greatest common factor of 444/505,811/249 = [GCF of 444,811]/[LCM of 505,249]= 1/125745
Therefore, the GCF of 444/505,811/249 is 1/125745.
To find the highest common factor of 444,811, we have to find the factors of both numbers and list the highest common factor.
The factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
The factors of 811 are 1, 811
The HCF of 444,811 is 1.
Lets's calculate GCF of 444,811
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 444
:1,2,3,4,6,12,37,74,111,148,222,444
Now, list down the factors of 811
:1,811
Greatest Common Factor
We found the factors 444,811 . The biggest common factor number is the GCF number.
So the greatest common factor 444,811 is 1.
Lets's calculate LCM of 505,249
Given numbers has no common factors except 1. So, there LCM is their product i.e 125745
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/125745
Therefore, the GCF of Fractions 444/505,811/249 is 1/125745
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 505,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(505,249) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(505,249) x common factors =1 x 1 = 1
LCM(505,249) = ( 505 × 249 ) / 1
LCM(505,249) = 125745 / 1
LCM(505,249) = 125745
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 444,811?
The HCF of 444,811 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 444/505, 811/249?
Answer: GCF of Numerators as per given numbers 444/505, 811/249 is
GCF of Numerators i.e. for 444,811 is 1
LCM of denominators i.e. for 505,249 is 125745.
Thus, GCF of Fractions is 1/125745.Finally, GCF of Fractions for 444/505, 811/249 is 1/125745.