Use our free GCF of Fractions Calculator tool to compute the GCF of 15/804, 3824/2246 i.e 1/902892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 15/804, 3824/2246.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 15/804,3824/2246
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 15/804,3824/2246, numerators are 15,3824
Denominators are 804,2246
The GCF of 15,3824 is 1 .
LCM of 804,2246 is 902892.
The greatest common factor of 15/804,3824/2246 = [GCF of 15,3824]/[LCM of 804,2246]= 1/902892
Therefore, the GCF of 15/804,3824/2246 is 1/902892.
To find the highest common factor of 15,3824, we have to find the factors of both numbers and list the highest common factor.
The factors of 15 are 1, 3, 5, 15
The factors of 3824 are 1, 2, 4, 8, 16, 239, 478, 956, 1912, 3824
The HCF of 15,3824 is 1.
Lets's calculate GCF of 15,3824
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 15
:1,3,5,15
Now, list down the factors of 3824
:1,2,4,8,16,239,478,956,1912,3824
Greatest Common Factor
We found the factors 15,3824 . The biggest common factor number is the GCF number.
So the greatest common factor 15,3824 is 1.
Lets's calculate LCM of 804,2246
2 | 804, 2246 |
402, 1123 |
∴ So the LCM of the given numbers is 2 x 402 x 1123 = 902892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/902892
Therefore, the GCF of Fractions 15/804,3824/2246 is 1/902892
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 804,2246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(804,2246) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(804,2246) x common factors =2 x 1 = 2
LCM(804,2246) = ( 804 × 2246 ) / 2
LCM(804,2246) = 1805784 / 2
LCM(804,2246) = 902892
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 15,3824?
The HCF of 15,3824 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 15/804, 3824/2246?
Answer: GCF of Numerators as per given numbers 15/804, 3824/2246 is
GCF of Numerators i.e. for 15,3824 is 1
LCM of denominators i.e. for 804,2246 is 902892.
Thus, GCF of Fractions is 1/902892.Finally, GCF of Fractions for 15/804, 3824/2246 is 1/902892.