Use our free GCF of Fractions Calculator tool to compute the GCF of 65/469, 41/3147 i.e 1/1475943 easily. The following is the detailed procedure to determine the greatest common factor of fractions 65/469, 41/3147.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 65/469,41/3147
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 65/469,41/3147, numerators are 65,41
Denominators are 469,3147
The GCF of 65,41 is 1 .
LCM of 469,3147 is 1475943.
The greatest common factor of 65/469,41/3147 = [GCF of 65,41]/[LCM of 469,3147]= 1/1475943
Therefore, the GCF of 65/469,41/3147 is 1/1475943.
To find the highest common factor of 65,41, we have to find the factors of both numbers and list the highest common factor.
The factors of 65 are 1, 5, 13, 65
The factors of 41 are 1, 41
The HCF of 65,41 is 1.
Lets's calculate GCF of 65,41
∴ So GCF of numbers is 1 because of no common factors present between them.
Lets's calculate LCM of 469,3147
Given numbers has no common factors except 1. So, there LCM is their product i.e 1475943
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1475943
Therefore, the GCF of Fractions 65/469,41/3147 is 1/1475943
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 469,3147 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,3147) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(469,3147) x common factors =1 x 1 = 1
LCM(469,3147) = ( 469 × 3147 ) / 1
LCM(469,3147) = 1475943 / 1
LCM(469,3147) = 1475943
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 65,41?
The HCF of 65,41 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 65/469, 41/3147?
Answer: GCF of Numerators as per given numbers 65/469, 41/3147 is
GCF of Numerators i.e. for 65,41 is 1
LCM of denominators i.e. for 469,3147 is 1475943.
Thus, GCF of Fractions is 1/1475943.Finally, GCF of Fractions for 65/469, 41/3147 is 1/1475943.