Use our free GCF of Fractions Calculator tool to compute the GCF of 19/59, 189/13, 338/545 i.e 1/418015 easily. The following is the detailed procedure to determine the greatest common factor of fractions 19/59, 189/13, 338/545.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 19/59,189/13,338/545
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 19/59,189/13,338/545, numerators are 19,189,338
Denominators are 59,13,545
The GCF of 19,189,338 is 1 .
LCM of 59,13,545 is 418015.
The greatest common factor of 19/59,189/13,338/545 = [GCF of 19,189,338]/[LCM of 59,13,545]= 1/418015
Therefore, the GCF of 19/59,189/13,338/545 is 1/418015.
To find the highest common factor of 19,189,338, we have to find the factors of both numbers and list the highest common factor.
The factors of 19 are 1, 19
The factors of 189 are 1, 3, 7, 9, 21, 27, 63, 189
The factors of 338 are 1, 2, 13, 26, 169, 338
The HCF of 19,189,338 is 1.
Lets's calculate GCF of 19,189,338
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 19
:1,19
Now, list down the factors of 189
:1,3,7,9,21,27,63,189
Now, list down the factors of 338
:1,2,13,26,169,338
Greatest Common Factor
We found the factors 19,189,338 . The biggest common factor number is the GCF number.
So the greatest common factor 19,189,338 is 1.
Lets's calculate LCM of 59,13,545
Given numbers has no common factors except 1. So, there LCM is their product i.e 418015
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/418015
Therefore, the GCF of Fractions 19/59,189/13,338/545 is 1/418015
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 59,13,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,13,545) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,13,545) x common factors =1 x 1 = 1
LCM(59,13,545) = ( 59 × 13 × 545 ) / 1
LCM(59,13,545) = 418015 / 1
LCM(59,13,545) = 418015
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 19,189,338?
The HCF of 19,189,338 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 19/59, 189/13, 338/545?
Answer: GCF of Numerators as per given numbers 19/59, 189/13, 338/545 is
GCF of Numerators i.e. for 19,189,338 is 1
LCM of denominators i.e. for 59,13,545 is 418015.
Thus, GCF of Fractions is 1/418015.Finally, GCF of Fractions for 19/59, 189/13, 338/545 is 1/418015.