Use our free GCF of Fractions Calculator tool to compute the GCF of 8/74, 241/50, 589/54 i.e 1/49950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8/74, 241/50, 589/54.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8/74,241/50,589/54
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 8/74,241/50,589/54, numerators are 8,241,589
Denominators are 74,50,54
The GCF of 8,241,589 is 1 .
LCM of 74,50,54 is 49950.
The greatest common factor of 8/74,241/50,589/54 = [GCF of 8,241,589]/[LCM of 74,50,54]= 1/49950
Therefore, the GCF of 8/74,241/50,589/54 is 1/49950.
To find the highest common factor of 8,241,589, we have to find the factors of both numbers and list the highest common factor.
The factors of 8 are 1, 2, 4, 8
The factors of 241 are 1, 241
The factors of 589 are 1, 19, 31, 589
The HCF of 8,241,589 is 1.
Lets's calculate GCF of 8,241,589
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 8
:1,2,4,8
Now, list down the factors of 241
:1,241
Now, list down the factors of 589
:1,19,31,589
Greatest Common Factor
We found the factors 8,241,589 . The biggest common factor number is the GCF number.
So the greatest common factor 8,241,589 is 1.
Lets's calculate LCM of 74,50,54
2 | 74, 50, 54 |
37, 25, 27 |
∴ So the LCM of the given numbers is 2 x 37 x 25 x 27 = 49950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49950
Therefore, the GCF of Fractions 8/74,241/50,589/54 is 1/49950
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 74,50,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,50,54) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(74,50,54) x common factors =2 x 2 = 4
LCM(74,50,54) = ( 74 × 50 × 54 ) / 4
LCM(74,50,54) = 199800 / 4
LCM(74,50,54) = 49950
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8,241,589?
The HCF of 8,241,589 is 1
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 8/74, 241/50, 589/54?
Answer: GCF of Numerators as per given numbers 8/74, 241/50, 589/54 is
GCF of Numerators i.e. for 8,241,589 is 1
LCM of denominators i.e. for 74,50,54 is 49950.
Thus, GCF of Fractions is 1/49950.Finally, GCF of Fractions for 8/74, 241/50, 589/54 is 1/49950.