Use our free GCF of Fractions Calculator tool to compute the GCF of 19/44, 819/64, 336/559 i.e 1/393536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 19/44, 819/64, 336/559.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 19/44,819/64,336/559
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 19/44,819/64,336/559, numerators are 19,819,336
Denominators are 44,64,559
The GCF of 19,819,336 is 1 .
LCM of 44,64,559 is 393536.
The greatest common factor of 19/44,819/64,336/559 = [GCF of 19,819,336]/[LCM of 44,64,559]= 1/393536
Therefore, the GCF of 19/44,819/64,336/559 is 1/393536.
To find the highest common factor of 19,819,336, 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 819 are 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
The factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
The HCF of 19,819,336 is 1.
Lets's calculate GCF of 19,819,336
∴ 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 819
:1,3,7,9,13,21,39,63,91,117,273,819
Now, list down the factors of 336
:1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Greatest Common Factor
We found the factors 19,819,336 . The biggest common factor number is the GCF number.
So the greatest common factor 19,819,336 is 1.
Lets's calculate LCM of 44,64,559
2 | 44, 64, 559 |
2 | 22, 32, 559 |
11, 16, 559 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 16 x 559 = 393536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/393536
Therefore, the GCF of Fractions 19/44,819/64,336/559 is 1/393536
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 44,64,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,64,559) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(44,64,559) x common factors =1 x 4 = 4
LCM(44,64,559) = ( 44 × 64 × 559 ) / 4
LCM(44,64,559) = 1574144 / 4
LCM(44,64,559) = 393536
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 19,819,336?
The HCF of 19,819,336 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 19/44, 819/64, 336/559?
Answer: GCF of Numerators as per given numbers 19/44, 819/64, 336/559 is
GCF of Numerators i.e. for 19,819,336 is 1
LCM of denominators i.e. for 44,64,559 is 393536.
Thus, GCF of Fractions is 1/393536.Finally, GCF of Fractions for 19/44, 819/64, 336/559 is 1/393536.