Use our free GCF of Fractions Calculator tool to compute the GCF of 932/557, 821/809 i.e 1/450613 easily. The following is the detailed procedure to determine the greatest common factor of fractions 932/557, 821/809.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 932/557,821/809
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 932/557,821/809, numerators are 932,821
Denominators are 557,809
The GCF of 932,821 is 1 .
LCM of 557,809 is 450613.
The greatest common factor of 932/557,821/809 = [GCF of 932,821]/[LCM of 557,809]= 1/450613
Therefore, the GCF of 932/557,821/809 is 1/450613.
To find the highest common factor of 932,821, we have to find the factors of both numbers and list the highest common factor.
The factors of 932 are 1, 2, 4, 233, 466, 932
The factors of 821 are 1, 821
The HCF of 932,821 is 1.
Lets's calculate GCF of 932,821
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 932
:1,2,4,233,466,932
Now, list down the factors of 821
:1,821
Greatest Common Factor
We found the factors 932,821 . The biggest common factor number is the GCF number.
So the greatest common factor 932,821 is 1.
Lets's calculate LCM of 557,809
Given numbers has no common factors except 1. So, there LCM is their product i.e 450613
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/450613
Therefore, the GCF of Fractions 932/557,821/809 is 1/450613
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 557,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(557,809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(557,809) x common factors =1 x 1 = 1
LCM(557,809) = ( 557 × 809 ) / 1
LCM(557,809) = 450613 / 1
LCM(557,809) = 450613
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 932,821?
The HCF of 932,821 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 932/557, 821/809?
Answer: GCF of Numerators as per given numbers 932/557, 821/809 is
GCF of Numerators i.e. for 932,821 is 1
LCM of denominators i.e. for 557,809 is 450613.
Thus, GCF of Fractions is 1/450613.Finally, GCF of Fractions for 932/557, 821/809 is 1/450613.