Use our free GCF of Fractions Calculator tool to compute the GCF of 50/19, 399/13, 113/730 i.e 1/180310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 50/19, 399/13, 113/730.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 50/19,399/13,113/730
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 50/19,399/13,113/730, numerators are 50,399,113
Denominators are 19,13,730
The GCF of 50,399,113 is 1 .
LCM of 19,13,730 is 180310.
The greatest common factor of 50/19,399/13,113/730 = [GCF of 50,399,113]/[LCM of 19,13,730]= 1/180310
Therefore, the GCF of 50/19,399/13,113/730 is 1/180310.
To find the highest common factor of 50,399,113, 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 399 are 1, 3, 7, 19, 21, 57, 133, 399
The factors of 113 are 1, 113
The HCF of 50,399,113 is 1.
Lets's calculate GCF of 50,399,113
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 50
:1,2,5,10,25,50
Now, list down the factors of 399
:1,3,7,19,21,57,133,399
Now, list down the factors of 113
:1,113
Greatest Common Factor
We found the factors 50,399,113 . The biggest common factor number is the GCF number.
So the greatest common factor 50,399,113 is 1.
Lets's calculate LCM of 19,13,730
Given numbers has no common factors except 1. So, there LCM is their product i.e 180310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/180310
Therefore, the GCF of Fractions 50/19,399/13,113/730 is 1/180310
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 19,13,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,13,730) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,13,730) x common factors =1 x 1 = 1
LCM(19,13,730) = ( 19 × 13 × 730 ) / 1
LCM(19,13,730) = 180310 / 1
LCM(19,13,730) = 180310
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 50,399,113?
The HCF of 50,399,113 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 50/19, 399/13, 113/730?
Answer: GCF of Numerators as per given numbers 50/19, 399/13, 113/730 is
GCF of Numerators i.e. for 50,399,113 is 1
LCM of denominators i.e. for 19,13,730 is 180310.
Thus, GCF of Fractions is 1/180310.Finally, GCF of Fractions for 50/19, 399/13, 113/730 is 1/180310.