Use our free GCF of Fractions Calculator tool to compute the GCF of 50/522, 74/291, 154/204 i.e 2/1721556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 50/522, 74/291, 154/204.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 50/522,74/291,154/204
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 50/522,74/291,154/204, numerators are 50,74,154
Denominators are 522,291,204
The GCF of 50,74,154 is 2 .
LCM of 522,291,204 is 1721556.
The greatest common factor of 50/522,74/291,154/204 = [GCF of 50,74,154]/[LCM of 522,291,204]= 2/1721556
Therefore, the GCF of 50/522,74/291,154/204 is 2/1721556.
To find the highest common factor of 50,74,154, we have to find the factors of both numbers and list the highest common factor.
The factors of 50 are 1, 2, 5, 10, 25, 50
The factors of 74 are 1, 2, 37, 74
The factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154
The HCF of 50,74,154 is 2.
Lets's calculate GCF of 50,74,154
2 | 50, 74, 154 |
25, 37, 77 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 50
:1,2,5,10,25,50
Now, list down the factors of 74
:1,2,37,74
Now, list down the factors of 154
:1,2,7,11,14,22,77,154
Greatest Common Factor
We found the factors 50,74,154 . The biggest common factor number is the GCF number.
So the greatest common factor 50,74,154 is 2.
Lets's calculate LCM of 522,291,204
2 | 522, 291, 204 |
3 | 261, 291, 102 |
87, 97, 34 |
∴ So the LCM of the given numbers is 2 x 3 x 87 x 97 x 34 = 1721556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1721556
Therefore, the GCF of Fractions 50/522,74/291,154/204 is 2/1721556
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 522,291,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,291,204) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(522,291,204) x common factors =3 x 6 = 18
LCM(522,291,204) = ( 522 × 291 × 204 ) / 18
LCM(522,291,204) = 30988008 / 18
LCM(522,291,204) = 1721556
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 50,74,154?
The HCF of 50,74,154 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 50/522, 74/291, 154/204?
Answer: GCF of Numerators as per given numbers 50/522, 74/291, 154/204 is
GCF of Numerators i.e. for 50,74,154 is 2
LCM of denominators i.e. for 522,291,204 is 1721556.
Thus, GCF of Fractions is 2/1721556.Finally, GCF of Fractions for 50/522, 74/291, 154/204 is 2/1721556.