Use our free GCF of Fractions Calculator tool to compute the GCF of 19/889, 66/5333 i.e 1/4741037 easily. The following is the detailed procedure to determine the greatest common factor of fractions 19/889, 66/5333.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 19/889,66/5333
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 19/889,66/5333, numerators are 19,66
Denominators are 889,5333
The GCF of 19,66 is 1 .
LCM of 889,5333 is 4741037.
The greatest common factor of 19/889,66/5333 = [GCF of 19,66]/[LCM of 889,5333]= 1/4741037
Therefore, the GCF of 19/889,66/5333 is 1/4741037.
To find the highest common factor of 19,66, 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 66 are 1, 2, 3, 6, 11, 22, 33, 66
The HCF of 19,66 is 1.
Lets's calculate GCF of 19,66
∴ 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 66
:1,2,3,6,11,22,33,66
Greatest Common Factor
We found the factors 19,66 . The biggest common factor number is the GCF number.
So the greatest common factor 19,66 is 1.
Lets's calculate LCM of 889,5333
Given numbers has no common factors except 1. So, there LCM is their product i.e 4741037
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4741037
Therefore, the GCF of Fractions 19/889,66/5333 is 1/4741037
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 889,5333 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(889,5333) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(889,5333) x common factors =1 x 1 = 1
LCM(889,5333) = ( 889 × 5333 ) / 1
LCM(889,5333) = 4741037 / 1
LCM(889,5333) = 4741037
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 19,66?
The HCF of 19,66 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 19/889, 66/5333?
Answer: GCF of Numerators as per given numbers 19/889, 66/5333 is
GCF of Numerators i.e. for 19,66 is 1
LCM of denominators i.e. for 889,5333 is 4741037.
Thus, GCF of Fractions is 1/4741037.Finally, GCF of Fractions for 19/889, 66/5333 is 1/4741037.