Use our free GCF of Fractions Calculator tool to compute the GCF of 1185/207, 8665/9971 i.e 5/2063997 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1185/207, 8665/9971.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1185/207,8665/9971
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 1185/207,8665/9971, numerators are 1185,8665
Denominators are 207,9971
The GCF of 1185,8665 is 5 .
LCM of 207,9971 is 2063997.
The greatest common factor of 1185/207,8665/9971 = [GCF of 1185,8665]/[LCM of 207,9971]= 5/2063997
Therefore, the GCF of 1185/207,8665/9971 is 5/2063997.
To find the highest common factor of 1185,8665, we have to find the factors of both numbers and list the highest common factor.
The factors of 1185 are 1, 3, 5, 15, 79, 237, 395, 1185
The factors of 8665 are 1, 5, 1733, 8665
The HCF of 1185,8665 is 5.
Lets's calculate GCF of 1185,8665
5 | 1185, 8665 |
237, 1733 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 1185
:1,3,5,15,79,237,395,1185
Now, list down the factors of 8665
:1,5,1733,8665
Greatest Common Factor
We found the factors 1185,8665 . The biggest common factor number is the GCF number.
So the greatest common factor 1185,8665 is 5.
Lets's calculate LCM of 207,9971
Given numbers has no common factors except 1. So, there LCM is their product i.e 2063997
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2063997
Therefore, the GCF of Fractions 1185/207,8665/9971 is 5/2063997
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 207,9971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,9971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(207,9971) x common factors =1 x 1 = 1
LCM(207,9971) = ( 207 × 9971 ) / 1
LCM(207,9971) = 2063997 / 1
LCM(207,9971) = 2063997
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1185,8665?
The HCF of 1185,8665 is 5
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 1185/207, 8665/9971?
Answer: GCF of Numerators as per given numbers 1185/207, 8665/9971 is
GCF of Numerators i.e. for 1185,8665 is 5
LCM of denominators i.e. for 207,9971 is 2063997.
Thus, GCF of Fractions is 5/2063997.Finally, GCF of Fractions for 1185/207, 8665/9971 is 5/2063997.