Use our free GCF of Fractions Calculator tool to compute the GCF of 587/372, 400/775 i.e 1/9300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 587/372, 400/775.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 587/372,400/775
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 587/372,400/775, numerators are 587,400
Denominators are 372,775
The GCF of 587,400 is 1 .
LCM of 372,775 is 9300.
The greatest common factor of 587/372,400/775 = [GCF of 587,400]/[LCM of 372,775]= 1/9300
Therefore, the GCF of 587/372,400/775 is 1/9300.
To find the highest common factor of 587,400, we have to find the factors of both numbers and list the highest common factor.
The factors of 587 are 1, 587
The factors of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
The HCF of 587,400 is 1.
Lets's calculate GCF of 587,400
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 587
:1,587
Now, list down the factors of 400
:1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Greatest Common Factor
We found the factors 587,400 . The biggest common factor number is the GCF number.
So the greatest common factor 587,400 is 1.
Lets's calculate LCM of 372,775
31 | 372, 775 |
12, 25 |
∴ So the LCM of the given numbers is 31 x 12 x 25 = 9300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9300
Therefore, the GCF of Fractions 587/372,400/775 is 1/9300
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 372,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,775) = 31
common factors(in case of two or more numbers have common factors) = 1
GCF(372,775) x common factors =31 x 1 = 31
LCM(372,775) = ( 372 × 775 ) / 31
LCM(372,775) = 288300 / 31
LCM(372,775) = 9300
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 587,400?
The HCF of 587,400 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 587/372, 400/775?
Answer: GCF of Numerators as per given numbers 587/372, 400/775 is
GCF of Numerators i.e. for 587,400 is 1
LCM of denominators i.e. for 372,775 is 9300.
Thus, GCF of Fractions is 1/9300.Finally, GCF of Fractions for 587/372, 400/775 is 1/9300.