Use our free GCF of Fractions Calculator tool to compute the GCF of 7717/227, 1233/8004 i.e 1/1816908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7717/227, 1233/8004.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7717/227,1233/8004
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 7717/227,1233/8004, numerators are 7717,1233
Denominators are 227,8004
The GCF of 7717,1233 is 1 .
LCM of 227,8004 is 1816908.
The greatest common factor of 7717/227,1233/8004 = [GCF of 7717,1233]/[LCM of 227,8004]= 1/1816908
Therefore, the GCF of 7717/227,1233/8004 is 1/1816908.
To find the highest common factor of 7717,1233, we have to find the factors of both numbers and list the highest common factor.
The factors of 7717 are 1, 7717
The factors of 1233 are 1, 3, 9, 137, 411, 1233
The HCF of 7717,1233 is 1.
Lets's calculate GCF of 7717,1233
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7717
:1,7717
Now, list down the factors of 1233
:1,3,9,137,411,1233
Greatest Common Factor
We found the factors 7717,1233 . The biggest common factor number is the GCF number.
So the greatest common factor 7717,1233 is 1.
Lets's calculate LCM of 227,8004
Given numbers has no common factors except 1. So, there LCM is their product i.e 1816908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1816908
Therefore, the GCF of Fractions 7717/227,1233/8004 is 1/1816908
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 227,8004 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(227,8004) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(227,8004) x common factors =1 x 1 = 1
LCM(227,8004) = ( 227 × 8004 ) / 1
LCM(227,8004) = 1816908 / 1
LCM(227,8004) = 1816908
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7717,1233?
The HCF of 7717,1233 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 7717/227, 1233/8004?
Answer: GCF of Numerators as per given numbers 7717/227, 1233/8004 is
GCF of Numerators i.e. for 7717,1233 is 1
LCM of denominators i.e. for 227,8004 is 1816908.
Thus, GCF of Fractions is 1/1816908.Finally, GCF of Fractions for 7717/227, 1233/8004 is 1/1816908.