Use our free GCF of Fractions Calculator tool to compute the GCF of 550/291, 225/993 i.e 25/96321 easily. The following is the detailed procedure to determine the greatest common factor of fractions 550/291, 225/993.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 550/291,225/993
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 550/291,225/993, numerators are 550,225
Denominators are 291,993
The GCF of 550,225 is 25 .
LCM of 291,993 is 96321.
The greatest common factor of 550/291,225/993 = [GCF of 550,225]/[LCM of 291,993]= 25/96321
Therefore, the GCF of 550/291,225/993 is 25/96321.
To find the highest common factor of 550,225, we have to find the factors of both numbers and list the highest common factor.
The factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
The factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, 225
The HCF of 550,225 is 25.
Lets's calculate GCF of 550,225
5 | 550, 225 |
5 | 110, 45 |
22, 9 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Now, list down the factors of 550
:1,2,5,10,11,22,25,50,55,110,275,550
Now, list down the factors of 225
:1,3,5,9,15,25,45,75,225
Greatest Common Factor
We found the factors 550,225 . The biggest common factor number is the GCF number.
So the greatest common factor 550,225 is 25.
Lets's calculate LCM of 291,993
3 | 291, 993 |
97, 331 |
∴ So the LCM of the given numbers is 3 x 97 x 331 = 96321
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/96321
Therefore, the GCF of Fractions 550/291,225/993 is 25/96321
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 291,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(291,993) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(291,993) x common factors =3 x 1 = 3
LCM(291,993) = ( 291 × 993 ) / 3
LCM(291,993) = 288963 / 3
LCM(291,993) = 96321
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 550,225?
The HCF of 550,225 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 550/291, 225/993?
Answer: GCF of Numerators as per given numbers 550/291, 225/993 is
GCF of Numerators i.e. for 550,225 is 25
LCM of denominators i.e. for 291,993 is 96321.
Thus, GCF of Fractions is 25/96321.Finally, GCF of Fractions for 550/291, 225/993 is 25/96321.