Use our free GCF of Fractions Calculator tool to compute the GCF of 592/205, 291/784 i.e 1/160720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 592/205, 291/784.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 592/205,291/784
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 592/205,291/784, numerators are 592,291
Denominators are 205,784
The GCF of 592,291 is 1 .
LCM of 205,784 is 160720.
The greatest common factor of 592/205,291/784 = [GCF of 592,291]/[LCM of 205,784]= 1/160720
Therefore, the GCF of 592/205,291/784 is 1/160720.
To find the highest common factor of 592,291, we have to find the factors of both numbers and list the highest common factor.
The factors of 592 are 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
The factors of 291 are 1, 3, 97, 291
The HCF of 592,291 is 1.
Lets's calculate GCF of 592,291
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 592
:1,2,4,8,16,37,74,148,296,592
Now, list down the factors of 291
:1,3,97,291
Greatest Common Factor
We found the factors 592,291 . The biggest common factor number is the GCF number.
So the greatest common factor 592,291 is 1.
Lets's calculate LCM of 205,784
Given numbers has no common factors except 1. So, there LCM is their product i.e 160720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/160720
Therefore, the GCF of Fractions 592/205,291/784 is 1/160720
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 205,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,784) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(205,784) x common factors =1 x 1 = 1
LCM(205,784) = ( 205 × 784 ) / 1
LCM(205,784) = 160720 / 1
LCM(205,784) = 160720
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 592,291?
The HCF of 592,291 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 592/205, 291/784?
Answer: GCF of Numerators as per given numbers 592/205, 291/784 is
GCF of Numerators i.e. for 592,291 is 1
LCM of denominators i.e. for 205,784 is 160720.
Thus, GCF of Fractions is 1/160720.Finally, GCF of Fractions for 592/205, 291/784 is 1/160720.