Use our free GCF of Fractions Calculator tool to compute the GCF of 3788/451, 8017/5131 i.e 1/2314081 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3788/451, 8017/5131.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3788/451,8017/5131
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 3788/451,8017/5131, numerators are 3788,8017
Denominators are 451,5131
The GCF of 3788,8017 is 1 .
LCM of 451,5131 is 2314081.
The greatest common factor of 3788/451,8017/5131 = [GCF of 3788,8017]/[LCM of 451,5131]= 1/2314081
Therefore, the GCF of 3788/451,8017/5131 is 1/2314081.
To find the highest common factor of 3788,8017, we have to find the factors of both numbers and list the highest common factor.
The factors of 3788 are 1, 2, 4, 947, 1894, 3788
The factors of 8017 are 1, 8017
The HCF of 3788,8017 is 1.
Lets's calculate GCF of 3788,8017
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3788
:1,2,4,947,1894,3788
Now, list down the factors of 8017
:1,8017
Greatest Common Factor
We found the factors 3788,8017 . The biggest common factor number is the GCF number.
So the greatest common factor 3788,8017 is 1.
Lets's calculate LCM of 451,5131
Given numbers has no common factors except 1. So, there LCM is their product i.e 2314081
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2314081
Therefore, the GCF of Fractions 3788/451,8017/5131 is 1/2314081
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 451,5131 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(451,5131) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(451,5131) x common factors =1 x 1 = 1
LCM(451,5131) = ( 451 × 5131 ) / 1
LCM(451,5131) = 2314081 / 1
LCM(451,5131) = 2314081
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3788,8017?
The HCF of 3788,8017 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 3788/451, 8017/5131?
Answer: GCF of Numerators as per given numbers 3788/451, 8017/5131 is
GCF of Numerators i.e. for 3788,8017 is 1
LCM of denominators i.e. for 451,5131 is 2314081.
Thus, GCF of Fractions is 1/2314081.Finally, GCF of Fractions for 3788/451, 8017/5131 is 1/2314081.