Use our free GCF of Fractions Calculator tool to compute the GCF of 8006/507, 5723/9693 i.e 1/1638117 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8006/507, 5723/9693.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8006/507,5723/9693
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 8006/507,5723/9693, numerators are 8006,5723
Denominators are 507,9693
The GCF of 8006,5723 is 1 .
LCM of 507,9693 is 1638117.
The greatest common factor of 8006/507,5723/9693 = [GCF of 8006,5723]/[LCM of 507,9693]= 1/1638117
Therefore, the GCF of 8006/507,5723/9693 is 1/1638117.
To find the highest common factor of 8006,5723, we have to find the factors of both numbers and list the highest common factor.
The factors of 8006 are 1, 2, 4003, 8006
The factors of 5723 are 1, 59, 97, 5723
The HCF of 8006,5723 is 1.
Lets's calculate GCF of 8006,5723
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 8006
:1,2,4003,8006
Now, list down the factors of 5723
:1,59,97,5723
Greatest Common Factor
We found the factors 8006,5723 . The biggest common factor number is the GCF number.
So the greatest common factor 8006,5723 is 1.
Lets's calculate LCM of 507,9693
3 | 507, 9693 |
169, 3231 |
∴ So the LCM of the given numbers is 3 x 169 x 3231 = 1638117
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1638117
Therefore, the GCF of Fractions 8006/507,5723/9693 is 1/1638117
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 507,9693 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,9693) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(507,9693) x common factors =3 x 1 = 3
LCM(507,9693) = ( 507 × 9693 ) / 3
LCM(507,9693) = 4914351 / 3
LCM(507,9693) = 1638117
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8006,5723?
The HCF of 8006,5723 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 8006/507, 5723/9693?
Answer: GCF of Numerators as per given numbers 8006/507, 5723/9693 is
GCF of Numerators i.e. for 8006,5723 is 1
LCM of denominators i.e. for 507,9693 is 1638117.
Thus, GCF of Fractions is 1/1638117.Finally, GCF of Fractions for 8006/507, 5723/9693 is 1/1638117.