Use our free GCF of Fractions Calculator tool to compute the GCF of 132/505, 153/750 i.e 3/75750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 132/505, 153/750.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 132/505,153/750
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 132/505,153/750, numerators are 132,153
Denominators are 505,750
The GCF of 132,153 is 3 .
LCM of 505,750 is 75750.
The greatest common factor of 132/505,153/750 = [GCF of 132,153]/[LCM of 505,750]= 3/75750
Therefore, the GCF of 132/505,153/750 is 3/75750.
To find the highest common factor of 132,153, we have to find the factors of both numbers and list the highest common factor.
The factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
The factors of 153 are 1, 3, 9, 17, 51, 153
The HCF of 132,153 is 3.
Lets's calculate GCF of 132,153
3 | 132, 153 |
44, 51 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 132
:1,2,3,4,6,11,12,22,33,44,66,132
Now, list down the factors of 153
:1,3,9,17,51,153
Greatest Common Factor
We found the factors 132,153 . The biggest common factor number is the GCF number.
So the greatest common factor 132,153 is 3.
Lets's calculate LCM of 505,750
5 | 505, 750 |
101, 150 |
∴ So the LCM of the given numbers is 5 x 101 x 150 = 75750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/75750
Therefore, the GCF of Fractions 132/505,153/750 is 3/75750
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 505,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(505,750) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(505,750) x common factors =5 x 1 = 5
LCM(505,750) = ( 505 × 750 ) / 5
LCM(505,750) = 378750 / 5
LCM(505,750) = 75750
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 132,153?
The HCF of 132,153 is 3
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 132/505, 153/750?
Answer: GCF of Numerators as per given numbers 132/505, 153/750 is
GCF of Numerators i.e. for 132,153 is 3
LCM of denominators i.e. for 505,750 is 75750.
Thus, GCF of Fractions is 3/75750.Finally, GCF of Fractions for 132/505, 153/750 is 3/75750.