Use our free GCF of Fractions Calculator tool to compute the GCF of 5181/789, 3182/8583 i.e 1/2257329 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5181/789, 3182/8583.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5181/789,3182/8583
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 5181/789,3182/8583, numerators are 5181,3182
Denominators are 789,8583
The GCF of 5181,3182 is 1 .
LCM of 789,8583 is 2257329.
The greatest common factor of 5181/789,3182/8583 = [GCF of 5181,3182]/[LCM of 789,8583]= 1/2257329
Therefore, the GCF of 5181/789,3182/8583 is 1/2257329.
To find the highest common factor of 5181,3182, we have to find the factors of both numbers and list the highest common factor.
The factors of 5181 are 1, 3, 11, 33, 157, 471, 1727, 5181
The factors of 3182 are 1, 2, 37, 43, 74, 86, 1591, 3182
The HCF of 5181,3182 is 1.
Lets's calculate GCF of 5181,3182
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5181
:1,3,11,33,157,471,1727,5181
Now, list down the factors of 3182
:1,2,37,43,74,86,1591,3182
Greatest Common Factor
We found the factors 5181,3182 . The biggest common factor number is the GCF number.
So the greatest common factor 5181,3182 is 1.
Lets's calculate LCM of 789,8583
3 | 789, 8583 |
263, 2861 |
∴ So the LCM of the given numbers is 3 x 263 x 2861 = 2257329
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2257329
Therefore, the GCF of Fractions 5181/789,3182/8583 is 1/2257329
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 789,8583 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(789,8583) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(789,8583) x common factors =3 x 1 = 3
LCM(789,8583) = ( 789 × 8583 ) / 3
LCM(789,8583) = 6771987 / 3
LCM(789,8583) = 2257329
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5181,3182?
The HCF of 5181,3182 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 5181/789, 3182/8583?
Answer: GCF of Numerators as per given numbers 5181/789, 3182/8583 is
GCF of Numerators i.e. for 5181,3182 is 1
LCM of denominators i.e. for 789,8583 is 2257329.
Thus, GCF of Fractions is 1/2257329.Finally, GCF of Fractions for 5181/789, 3182/8583 is 1/2257329.