Use our free GCF of Fractions Calculator tool to compute the GCF of 555/331, 555/356 i.e 555/117836 easily. The following is the detailed procedure to determine the greatest common factor of fractions 555/331, 555/356.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 555/331,555/356
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 555/331,555/356, numerators are 555,555
Denominators are 331,356
The GCF of 555,555 is 555 .
LCM of 331,356 is 117836.
The greatest common factor of 555/331,555/356 = [GCF of 555,555]/[LCM of 331,356]= 555/117836
Therefore, the GCF of 555/331,555/356 is 555/117836.
To find the highest common factor of 555,555, we have to find the factors of both numbers and list the highest common factor.
The factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555
The factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555
The HCF of 555,555 is 555.
Lets's calculate GCF of 555,555
3 | 555, 555 |
5 | 185, 185 |
37 | 37, 37 |
1, 1 |
∴ So the GCF of the given numbers is 3 x 5 x 37 = 555
Now, list down the factors of 555
:1,3,5,15,37,111,185,555
Now, list down the factors of 555
:1,3,5,15,37,111,185,555
Greatest Common Factor
We found the factors 555,555 . The biggest common factor number is the GCF number.
So the greatest common factor 555,555 is 555.
Lets's calculate LCM of 331,356
Given numbers has no common factors except 1. So, there LCM is their product i.e 117836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 555/117836
Therefore, the GCF of Fractions 555/331,555/356 is 555/117836
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 331,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(331,356) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(331,356) x common factors =1 x 1 = 1
LCM(331,356) = ( 331 × 356 ) / 1
LCM(331,356) = 117836 / 1
LCM(331,356) = 117836
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 555,555?
The HCF of 555,555 is 555
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 555/331, 555/356?
Answer: GCF of Numerators as per given numbers 555/331, 555/356 is
GCF of Numerators i.e. for 555,555 is 555
LCM of denominators i.e. for 331,356 is 117836.
Thus, GCF of Fractions is 555/117836.Finally, GCF of Fractions for 555/331, 555/356 is 555/117836.