Use our free GCF of Fractions Calculator tool to compute the GCF of 4108/192, 9439/4444 i.e 1/213312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4108/192, 9439/4444.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4108/192,9439/4444
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 4108/192,9439/4444, numerators are 4108,9439
Denominators are 192,4444
The GCF of 4108,9439 is 1 .
LCM of 192,4444 is 213312.
The greatest common factor of 4108/192,9439/4444 = [GCF of 4108,9439]/[LCM of 192,4444]= 1/213312
Therefore, the GCF of 4108/192,9439/4444 is 1/213312.
To find the highest common factor of 4108,9439, we have to find the factors of both numbers and list the highest common factor.
The factors of 4108 are 1, 2, 4, 13, 26, 52, 79, 158, 316, 1027, 2054, 4108
The factors of 9439 are 1, 9439
The HCF of 4108,9439 is 1.
Lets's calculate GCF of 4108,9439
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4108
:1,2,4,13,26,52,79,158,316,1027,2054,4108
Now, list down the factors of 9439
:1,9439
Greatest Common Factor
We found the factors 4108,9439 . The biggest common factor number is the GCF number.
So the greatest common factor 4108,9439 is 1.
Lets's calculate LCM of 192,4444
2 | 192, 4444 |
2 | 96, 2222 |
48, 1111 |
∴ So the LCM of the given numbers is 2 x 2 x 48 x 1111 = 213312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/213312
Therefore, the GCF of Fractions 4108/192,9439/4444 is 1/213312
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 192,4444 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(192,4444) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(192,4444) x common factors =4 x 1 = 4
LCM(192,4444) = ( 192 × 4444 ) / 4
LCM(192,4444) = 853248 / 4
LCM(192,4444) = 213312
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4108,9439?
The HCF of 4108,9439 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 4108/192, 9439/4444?
Answer: GCF of Numerators as per given numbers 4108/192, 9439/4444 is
GCF of Numerators i.e. for 4108,9439 is 1
LCM of denominators i.e. for 192,4444 is 213312.
Thus, GCF of Fractions is 1/213312.Finally, GCF of Fractions for 4108/192, 9439/4444 is 1/213312.