Use our free GCF of Fractions Calculator tool to compute the GCF of 327/825, 8936/683 i.e 1/563475 easily. The following is the detailed procedure to determine the greatest common factor of fractions 327/825, 8936/683.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 327/825,8936/683
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 327/825,8936/683, numerators are 327,8936
Denominators are 825,683
The GCF of 327,8936 is 1 .
LCM of 825,683 is 563475.
The greatest common factor of 327/825,8936/683 = [GCF of 327,8936]/[LCM of 825,683]= 1/563475
Therefore, the GCF of 327/825,8936/683 is 1/563475.
To find the highest common factor of 327,8936, we have to find the factors of both numbers and list the highest common factor.
The factors of 327 are 1, 3, 109, 327
The factors of 8936 are 1, 2, 4, 8, 1117, 2234, 4468, 8936
The HCF of 327,8936 is 1.
Lets's calculate GCF of 327,8936
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 327
:1,3,109,327
Now, list down the factors of 8936
:1,2,4,8,1117,2234,4468,8936
Greatest Common Factor
We found the factors 327,8936 . The biggest common factor number is the GCF number.
So the greatest common factor 327,8936 is 1.
Lets's calculate LCM of 825,683
Given numbers has no common factors except 1. So, there LCM is their product i.e 563475
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/563475
Therefore, the GCF of Fractions 327/825,8936/683 is 1/563475
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 825,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(825,683) x common factors =1 x 1 = 1
LCM(825,683) = ( 825 × 683 ) / 1
LCM(825,683) = 563475 / 1
LCM(825,683) = 563475
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 327,8936?
The HCF of 327,8936 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 327/825, 8936/683?
Answer: GCF of Numerators as per given numbers 327/825, 8936/683 is
GCF of Numerators i.e. for 327,8936 is 1
LCM of denominators i.e. for 825,683 is 563475.
Thus, GCF of Fractions is 1/563475.Finally, GCF of Fractions for 327/825, 8936/683 is 1/563475.