Use our free GCF of Fractions Calculator tool to compute the GCF of 410/584, 863/129 i.e 1/75336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 410/584, 863/129.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 410/584,863/129
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 410/584,863/129, numerators are 410,863
Denominators are 584,129
The GCF of 410,863 is 1 .
LCM of 584,129 is 75336.
The greatest common factor of 410/584,863/129 = [GCF of 410,863]/[LCM of 584,129]= 1/75336
Therefore, the GCF of 410/584,863/129 is 1/75336.
To find the highest common factor of 410,863, we have to find the factors of both numbers and list the highest common factor.
The factors of 410 are 1, 2, 5, 10, 41, 82, 205, 410
The factors of 863 are 1, 863
The HCF of 410,863 is 1.
Lets's calculate GCF of 410,863
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 410
:1,2,5,10,41,82,205,410
Now, list down the factors of 863
:1,863
Greatest Common Factor
We found the factors 410,863 . The biggest common factor number is the GCF number.
So the greatest common factor 410,863 is 1.
Lets's calculate LCM of 584,129
Given numbers has no common factors except 1. So, there LCM is their product i.e 75336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75336
Therefore, the GCF of Fractions 410/584,863/129 is 1/75336
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 584,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,129) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(584,129) x common factors =1 x 1 = 1
LCM(584,129) = ( 584 × 129 ) / 1
LCM(584,129) = 75336 / 1
LCM(584,129) = 75336
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 410,863?
The HCF of 410,863 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 410/584, 863/129?
Answer: GCF of Numerators as per given numbers 410/584, 863/129 is
GCF of Numerators i.e. for 410,863 is 1
LCM of denominators i.e. for 584,129 is 75336.
Thus, GCF of Fractions is 1/75336.Finally, GCF of Fractions for 410/584, 863/129 is 1/75336.