Use our free GCF of Fractions Calculator tool to compute the GCF of 388/120, 832/333 i.e 4/13320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 388/120, 832/333.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 388/120,832/333
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 388/120,832/333, numerators are 388,832
Denominators are 120,333
The GCF of 388,832 is 4 .
LCM of 120,333 is 13320.
The greatest common factor of 388/120,832/333 = [GCF of 388,832]/[LCM of 120,333]= 4/13320
Therefore, the GCF of 388/120,832/333 is 4/13320.
To find the highest common factor of 388,832, we have to find the factors of both numbers and list the highest common factor.
The factors of 388 are 1, 2, 4, 97, 194, 388
The factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
The HCF of 388,832 is 4.
Lets's calculate GCF of 388,832
2 | 388, 832 |
2 | 194, 416 |
97, 208 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 388
:1,2,4,97,194,388
Now, list down the factors of 832
:1,2,4,8,13,16,26,32,52,64,104,208,416,832
Greatest Common Factor
We found the factors 388,832 . The biggest common factor number is the GCF number.
So the greatest common factor 388,832 is 4.
Lets's calculate LCM of 120,333
3 | 120, 333 |
40, 111 |
∴ So the LCM of the given numbers is 3 x 40 x 111 = 13320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/13320
Therefore, the GCF of Fractions 388/120,832/333 is 4/13320
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 120,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,333) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(120,333) x common factors =3 x 1 = 3
LCM(120,333) = ( 120 × 333 ) / 3
LCM(120,333) = 39960 / 3
LCM(120,333) = 13320
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 388,832?
The HCF of 388,832 is 4
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 388/120, 832/333?
Answer: GCF of Numerators as per given numbers 388/120, 832/333 is
GCF of Numerators i.e. for 388,832 is 4
LCM of denominators i.e. for 120,333 is 13320.
Thus, GCF of Fractions is 4/13320.Finally, GCF of Fractions for 388/120, 832/333 is 4/13320.