Use our free GCF of Fractions Calculator tool to compute the GCF of 46/365, 41/309 i.e 1/112785 easily. The following is the detailed procedure to determine the greatest common factor of fractions 46/365, 41/309.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 46/365,41/309
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 46/365,41/309, numerators are 46,41
Denominators are 365,309
The GCF of 46,41 is 1 .
LCM of 365,309 is 112785.
The greatest common factor of 46/365,41/309 = [GCF of 46,41]/[LCM of 365,309]= 1/112785
Therefore, the GCF of 46/365,41/309 is 1/112785.
To find the highest common factor of 46,41, we have to find the factors of both numbers and list the highest common factor.
The factors of 46 are 1, 2, 23, 46
The factors of 41 are 1, 41
The HCF of 46,41 is 1.
Lets's calculate GCF of 46,41
∴ So GCF of numbers is 1 because of no common factors present between them.
Lets's calculate LCM of 365,309
Given numbers has no common factors except 1. So, there LCM is their product i.e 112785
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112785
Therefore, the GCF of Fractions 46/365,41/309 is 1/112785
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 365,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,309) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(365,309) x common factors =1 x 1 = 1
LCM(365,309) = ( 365 × 309 ) / 1
LCM(365,309) = 112785 / 1
LCM(365,309) = 112785
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 46,41?
The HCF of 46,41 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 46/365, 41/309?
Answer: GCF of Numerators as per given numbers 46/365, 41/309 is
GCF of Numerators i.e. for 46,41 is 1
LCM of denominators i.e. for 365,309 is 112785.
Thus, GCF of Fractions is 1/112785.Finally, GCF of Fractions for 46/365, 41/309 is 1/112785.