Use our free GCF of Fractions Calculator tool to compute the GCF of 8016/649, 9327/9007 i.e 3/5845543 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8016/649, 9327/9007.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8016/649,9327/9007
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 8016/649,9327/9007, numerators are 8016,9327
Denominators are 649,9007
The GCF of 8016,9327 is 3 .
LCM of 649,9007 is 5845543.
The greatest common factor of 8016/649,9327/9007 = [GCF of 8016,9327]/[LCM of 649,9007]= 3/5845543
Therefore, the GCF of 8016/649,9327/9007 is 3/5845543.
To find the highest common factor of 8016,9327, we have to find the factors of both numbers and list the highest common factor.
The factors of 8016 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 167, 334, 501, 668, 1002, 1336, 2004, 2672, 4008, 8016
The factors of 9327 are 1, 3, 3109, 9327
The HCF of 8016,9327 is 3.
Lets's calculate GCF of 8016,9327
3 | 8016, 9327 |
2672, 3109 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 8016
:1,2,3,4,6,8,12,16,24,48,167,334,501,668,1002,1336,2004,2672,4008,8016
Now, list down the factors of 9327
:1,3,3109,9327
Greatest Common Factor
We found the factors 8016,9327 . The biggest common factor number is the GCF number.
So the greatest common factor 8016,9327 is 3.
Lets's calculate LCM of 649,9007
Given numbers has no common factors except 1. So, there LCM is their product i.e 5845543
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5845543
Therefore, the GCF of Fractions 8016/649,9327/9007 is 3/5845543
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 649,9007 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(649,9007) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(649,9007) x common factors =1 x 1 = 1
LCM(649,9007) = ( 649 × 9007 ) / 1
LCM(649,9007) = 5845543 / 1
LCM(649,9007) = 5845543
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8016,9327?
The HCF of 8016,9327 is 3
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 8016/649, 9327/9007?
Answer: GCF of Numerators as per given numbers 8016/649, 9327/9007 is
GCF of Numerators i.e. for 8016,9327 is 3
LCM of denominators i.e. for 649,9007 is 5845543.
Thus, GCF of Fractions is 3/5845543.Finally, GCF of Fractions for 8016/649, 9327/9007 is 3/5845543.