Use our free GCF of Fractions Calculator tool to compute the GCF of 82/771, 41/6193 i.e 41/4774803 easily. The following is the detailed procedure to determine the greatest common factor of fractions 82/771, 41/6193.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 82/771,41/6193
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 82/771,41/6193, numerators are 82,41
Denominators are 771,6193
The GCF of 82,41 is 41 .
LCM of 771,6193 is 4774803.
The greatest common factor of 82/771,41/6193 = [GCF of 82,41]/[LCM of 771,6193]= 41/4774803
Therefore, the GCF of 82/771,41/6193 is 41/4774803.
To find the highest common factor of 82,41, we have to find the factors of both numbers and list the highest common factor.
The factors of 82 are 1, 2, 41, 82
The factors of 41 are 1, 41
The HCF of 82,41 is 41.
Lets's calculate GCF of 82,41
41 | 82, 41 |
2, 1 |
∴ So the GCF of the given numbers is 41 = 41
Lets's calculate LCM of 771,6193
Given numbers has no common factors except 1. So, there LCM is their product i.e 4774803
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/4774803
Therefore, the GCF of Fractions 82/771,41/6193 is 41/4774803
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 771,6193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(771,6193) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(771,6193) x common factors =1 x 1 = 1
LCM(771,6193) = ( 771 × 6193 ) / 1
LCM(771,6193) = 4774803 / 1
LCM(771,6193) = 4774803
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 82,41?
The HCF of 82,41 is 41
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 82/771, 41/6193?
Answer: GCF of Numerators as per given numbers 82/771, 41/6193 is
GCF of Numerators i.e. for 82,41 is 41
LCM of denominators i.e. for 771,6193 is 4774803.
Thus, GCF of Fractions is 41/4774803.Finally, GCF of Fractions for 82/771, 41/6193 is 41/4774803.