Use our free GCF of Fractions Calculator tool to compute the GCF of 450/590, 325/236 i.e 25/1180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 450/590, 325/236.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 450/590,325/236
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 450/590,325/236, numerators are 450,325
Denominators are 590,236
The GCF of 450,325 is 25 .
LCM of 590,236 is 1180.
The greatest common factor of 450/590,325/236 = [GCF of 450,325]/[LCM of 590,236]= 25/1180
Therefore, the GCF of 450/590,325/236 is 25/1180.
To find the highest common factor of 450,325, we have to find the factors of both numbers and list the highest common factor.
The factors of 450 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
The factors of 325 are 1, 5, 13, 25, 65, 325
The HCF of 450,325 is 25.
Lets's calculate GCF of 450,325
5 | 450, 325 |
5 | 90, 65 |
18, 13 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Now, list down the factors of 450
:1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Now, list down the factors of 325
:1,5,13,25,65,325
Greatest Common Factor
We found the factors 450,325 . The biggest common factor number is the GCF number.
So the greatest common factor 450,325 is 25.
Lets's calculate LCM of 590,236
2 | 590, 236 |
59 | 295, 118 |
5, 2 |
∴ So the LCM of the given numbers is 2 x 59 x 5 x 2 = 1180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/1180
Therefore, the GCF of Fractions 450/590,325/236 is 25/1180
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 590,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,236) = 118
common factors(in case of two or more numbers have common factors) = 1
GCF(590,236) x common factors =118 x 1 = 118
LCM(590,236) = ( 590 × 236 ) / 118
LCM(590,236) = 139240 / 118
LCM(590,236) = 1180
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 450,325?
The HCF of 450,325 is 25
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 450/590, 325/236?
Answer: GCF of Numerators as per given numbers 450/590, 325/236 is
GCF of Numerators i.e. for 450,325 is 25
LCM of denominators i.e. for 590,236 is 1180.
Thus, GCF of Fractions is 25/1180.Finally, GCF of Fractions for 450/590, 325/236 is 25/1180.