Use our free GCF of Fractions Calculator tool to compute the GCF of 8196/563, 9305/3828 i.e 1/2155164 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8196/563, 9305/3828.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8196/563,9305/3828
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 8196/563,9305/3828, numerators are 8196,9305
Denominators are 563,3828
The GCF of 8196,9305 is 1 .
LCM of 563,3828 is 2155164.
The greatest common factor of 8196/563,9305/3828 = [GCF of 8196,9305]/[LCM of 563,3828]= 1/2155164
Therefore, the GCF of 8196/563,9305/3828 is 1/2155164.
To find the highest common factor of 8196,9305, we have to find the factors of both numbers and list the highest common factor.
The factors of 8196 are 1, 2, 3, 4, 6, 12, 683, 1366, 2049, 2732, 4098, 8196
The factors of 9305 are 1, 5, 1861, 9305
The HCF of 8196,9305 is 1.
Lets's calculate GCF of 8196,9305
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 8196
:1,2,3,4,6,12,683,1366,2049,2732,4098,8196
Now, list down the factors of 9305
:1,5,1861,9305
Greatest Common Factor
We found the factors 8196,9305 . The biggest common factor number is the GCF number.
So the greatest common factor 8196,9305 is 1.
Lets's calculate LCM of 563,3828
Given numbers has no common factors except 1. So, there LCM is their product i.e 2155164
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2155164
Therefore, the GCF of Fractions 8196/563,9305/3828 is 1/2155164
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 563,3828 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(563,3828) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(563,3828) x common factors =1 x 1 = 1
LCM(563,3828) = ( 563 × 3828 ) / 1
LCM(563,3828) = 2155164 / 1
LCM(563,3828) = 2155164
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8196,9305?
The HCF of 8196,9305 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 8196/563, 9305/3828?
Answer: GCF of Numerators as per given numbers 8196/563, 9305/3828 is
GCF of Numerators i.e. for 8196,9305 is 1
LCM of denominators i.e. for 563,3828 is 2155164.
Thus, GCF of Fractions is 1/2155164.Finally, GCF of Fractions for 8196/563, 9305/3828 is 1/2155164.