Use our free GCF of Fractions Calculator tool to compute the GCF of 1891/227, 9505/8817 i.e 1/2001459 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1891/227, 9505/8817.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1891/227,9505/8817
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 1891/227,9505/8817, numerators are 1891,9505
Denominators are 227,8817
The GCF of 1891,9505 is 1 .
LCM of 227,8817 is 2001459.
The greatest common factor of 1891/227,9505/8817 = [GCF of 1891,9505]/[LCM of 227,8817]= 1/2001459
Therefore, the GCF of 1891/227,9505/8817 is 1/2001459.
To find the highest common factor of 1891,9505, we have to find the factors of both numbers and list the highest common factor.
The factors of 1891 are 1, 31, 61, 1891
The factors of 9505 are 1, 5, 1901, 9505
The HCF of 1891,9505 is 1.
Lets's calculate GCF of 1891,9505
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1891
:1,31,61,1891
Now, list down the factors of 9505
:1,5,1901,9505
Greatest Common Factor
We found the factors 1891,9505 . The biggest common factor number is the GCF number.
So the greatest common factor 1891,9505 is 1.
Lets's calculate LCM of 227,8817
Given numbers has no common factors except 1. So, there LCM is their product i.e 2001459
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2001459
Therefore, the GCF of Fractions 1891/227,9505/8817 is 1/2001459
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 227,8817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(227,8817) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(227,8817) x common factors =1 x 1 = 1
LCM(227,8817) = ( 227 × 8817 ) / 1
LCM(227,8817) = 2001459 / 1
LCM(227,8817) = 2001459
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1891,9505?
The HCF of 1891,9505 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 1891/227, 9505/8817?
Answer: GCF of Numerators as per given numbers 1891/227, 9505/8817 is
GCF of Numerators i.e. for 1891,9505 is 1
LCM of denominators i.e. for 227,8817 is 2001459.
Thus, GCF of Fractions is 1/2001459.Finally, GCF of Fractions for 1891/227, 9505/8817 is 1/2001459.