Use our free GCF of Fractions Calculator tool to compute the GCF of 30/522, 154/855, 932/483 i.e 2/7983990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 30/522, 154/855, 932/483.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 30/522,154/855,932/483
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 30/522,154/855,932/483, numerators are 30,154,932
Denominators are 522,855,483
The GCF of 30,154,932 is 2 .
LCM of 522,855,483 is 7983990.
The greatest common factor of 30/522,154/855,932/483 = [GCF of 30,154,932]/[LCM of 522,855,483]= 2/7983990
Therefore, the GCF of 30/522,154/855,932/483 is 2/7983990.
To find the highest common factor of 30,154,932, we have to find the factors of both numbers and list the highest common factor.
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
The factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154
The factors of 932 are 1, 2, 4, 233, 466, 932
The HCF of 30,154,932 is 2.
Lets's calculate GCF of 30,154,932
2 | 30, 154, 932 |
15, 77, 466 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 30
:1,2,3,5,6,10,15,30
Now, list down the factors of 154
:1,2,7,11,14,22,77,154
Now, list down the factors of 932
:1,2,4,233,466,932
Greatest Common Factor
We found the factors 30,154,932 . The biggest common factor number is the GCF number.
So the greatest common factor 30,154,932 is 2.
Lets's calculate LCM of 522,855,483
3 | 522, 855, 483 |
3 | 174, 285, 161 |
58, 95, 161 |
∴ So the LCM of the given numbers is 3 x 3 x 58 x 95 x 161 = 7983990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7983990
Therefore, the GCF of Fractions 30/522,154/855,932/483 is 2/7983990
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 522,855,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,855,483) = 3
common factors(in case of two or more numbers have common factors) = 9
GCF(522,855,483) x common factors =3 x 9 = 27
LCM(522,855,483) = ( 522 × 855 × 483 ) / 27
LCM(522,855,483) = 215567730 / 27
LCM(522,855,483) = 7983990
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 30,154,932?
The HCF of 30,154,932 is 2
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 30/522, 154/855, 932/483?
Answer: GCF of Numerators as per given numbers 30/522, 154/855, 932/483 is
GCF of Numerators i.e. for 30,154,932 is 2
LCM of denominators i.e. for 522,855,483 is 7983990.
Thus, GCF of Fractions is 2/7983990.Finally, GCF of Fractions for 30/522, 154/855, 932/483 is 2/7983990.