Use our free GCF of Fractions Calculator tool to compute the GCF of 660/648, 150/203 i.e 30/131544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 660/648, 150/203.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 660/648,150/203
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 660/648,150/203, numerators are 660,150
Denominators are 648,203
The GCF of 660,150 is 30 .
LCM of 648,203 is 131544.
The greatest common factor of 660/648,150/203 = [GCF of 660,150]/[LCM of 648,203]= 30/131544
Therefore, the GCF of 660/648,150/203 is 30/131544.
To find the highest common factor of 660,150, we have to find the factors of both numbers and list the highest common factor.
The factors of 660 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
The HCF of 660,150 is 30.
Lets's calculate GCF of 660,150
2 | 660, 150 |
3 | 330, 75 |
5 | 110, 25 |
22, 5 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Now, list down the factors of 660
:1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Now, list down the factors of 150
:1,2,3,5,6,10,15,25,30,50,75,150
Greatest Common Factor
We found the factors 660,150 . The biggest common factor number is the GCF number.
So the greatest common factor 660,150 is 30.
Lets's calculate LCM of 648,203
Given numbers has no common factors except 1. So, there LCM is their product i.e 131544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/131544
Therefore, the GCF of Fractions 660/648,150/203 is 30/131544
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 648,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,203) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(648,203) x common factors =1 x 1 = 1
LCM(648,203) = ( 648 × 203 ) / 1
LCM(648,203) = 131544 / 1
LCM(648,203) = 131544
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 660,150?
The HCF of 660,150 is 30
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 660/648, 150/203?
Answer: GCF of Numerators as per given numbers 660/648, 150/203 is
GCF of Numerators i.e. for 660,150 is 30
LCM of denominators i.e. for 648,203 is 131544.
Thus, GCF of Fractions is 30/131544.Finally, GCF of Fractions for 660/648, 150/203 is 30/131544.