Use our free GCF of Fractions Calculator tool to compute the GCF of 81/798, 83/3982 i.e 1/1588818 easily. The following is the detailed procedure to determine the greatest common factor of fractions 81/798, 83/3982.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 81/798,83/3982
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 81/798,83/3982, numerators are 81,83
Denominators are 798,3982
The GCF of 81,83 is 1 .
LCM of 798,3982 is 1588818.
The greatest common factor of 81/798,83/3982 = [GCF of 81,83]/[LCM of 798,3982]= 1/1588818
Therefore, the GCF of 81/798,83/3982 is 1/1588818.
To find the highest common factor of 81,83, we have to find the factors of both numbers and list the highest common factor.
The factors of 81 are 1, 3, 9, 27, 81
The factors of 83 are 1, 83
The HCF of 81,83 is 1.
Lets's calculate GCF of 81,83
∴ So GCF of numbers is 1 because of no common factors present between them.
Lets's calculate LCM of 798,3982
2 | 798, 3982 |
399, 1991 |
∴ So the LCM of the given numbers is 2 x 399 x 1991 = 1588818
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1588818
Therefore, the GCF of Fractions 81/798,83/3982 is 1/1588818
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 798,3982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(798,3982) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(798,3982) x common factors =2 x 1 = 2
LCM(798,3982) = ( 798 × 3982 ) / 2
LCM(798,3982) = 3177636 / 2
LCM(798,3982) = 1588818
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 81,83?
The HCF of 81,83 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 81/798, 83/3982?
Answer: GCF of Numerators as per given numbers 81/798, 83/3982 is
GCF of Numerators i.e. for 81,83 is 1
LCM of denominators i.e. for 798,3982 is 1588818.
Thus, GCF of Fractions is 1/1588818.Finally, GCF of Fractions for 81/798, 83/3982 is 1/1588818.