Use our free GCF of Fractions Calculator tool to compute the GCF of 886/341, 417/712 i.e 1/242792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 886/341, 417/712.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 886/341,417/712
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 886/341,417/712, numerators are 886,417
Denominators are 341,712
The GCF of 886,417 is 1 .
LCM of 341,712 is 242792.
The greatest common factor of 886/341,417/712 = [GCF of 886,417]/[LCM of 341,712]= 1/242792
Therefore, the GCF of 886/341,417/712 is 1/242792.
To find the highest common factor of 886,417, we have to find the factors of both numbers and list the highest common factor.
The factors of 886 are 1, 2, 443, 886
The factors of 417 are 1, 3, 139, 417
The HCF of 886,417 is 1.
Lets's calculate GCF of 886,417
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 886
:1,2,443,886
Now, list down the factors of 417
:1,3,139,417
Greatest Common Factor
We found the factors 886,417 . The biggest common factor number is the GCF number.
So the greatest common factor 886,417 is 1.
Lets's calculate LCM of 341,712
Given numbers has no common factors except 1. So, there LCM is their product i.e 242792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/242792
Therefore, the GCF of Fractions 886/341,417/712 is 1/242792
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 341,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(341,712) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(341,712) x common factors =1 x 1 = 1
LCM(341,712) = ( 341 × 712 ) / 1
LCM(341,712) = 242792 / 1
LCM(341,712) = 242792
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 886,417?
The HCF of 886,417 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 886/341, 417/712?
Answer: GCF of Numerators as per given numbers 886/341, 417/712 is
GCF of Numerators i.e. for 886,417 is 1
LCM of denominators i.e. for 341,712 is 242792.
Thus, GCF of Fractions is 1/242792.Finally, GCF of Fractions for 886/341, 417/712 is 1/242792.