Use our free GCF of Fractions Calculator tool to compute the GCF of 41/965, 82/375 i.e 41/72375 easily. The following is the detailed procedure to determine the greatest common factor of fractions 41/965, 82/375.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 41/965,82/375
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 41/965,82/375, numerators are 41,82
Denominators are 965,375
The GCF of 41,82 is 41 .
LCM of 965,375 is 72375.
The greatest common factor of 41/965,82/375 = [GCF of 41,82]/[LCM of 965,375]= 41/72375
Therefore, the GCF of 41/965,82/375 is 41/72375.
To find the highest common factor of 41,82, we have to find the factors of both numbers and list the highest common factor.
The factors of 41 are 1, 41
The factors of 82 are 1, 2, 41, 82
The HCF of 41,82 is 41.
Lets's calculate GCF of 41,82
41 | 41, 82 |
1, 2 |
∴ So the GCF of the given numbers is 41 = 41
Lets's calculate LCM of 965,375
5 | 965, 375 |
193, 75 |
∴ So the LCM of the given numbers is 5 x 193 x 75 = 72375
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/72375
Therefore, the GCF of Fractions 41/965,82/375 is 41/72375
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 965,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(965,375) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(965,375) x common factors =5 x 1 = 5
LCM(965,375) = ( 965 × 375 ) / 5
LCM(965,375) = 361875 / 5
LCM(965,375) = 72375
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 41,82?
The HCF of 41,82 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 41/965, 82/375?
Answer: GCF of Numerators as per given numbers 41/965, 82/375 is
GCF of Numerators i.e. for 41,82 is 41
LCM of denominators i.e. for 965,375 is 72375.
Thus, GCF of Fractions is 41/72375.Finally, GCF of Fractions for 41/965, 82/375 is 41/72375.