Use our free GCF of Fractions Calculator tool to compute the GCF of 3812/441, 3660/9121 i.e 4/574623 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3812/441, 3660/9121.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3812/441,3660/9121
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 3812/441,3660/9121, numerators are 3812,3660
Denominators are 441,9121
The GCF of 3812,3660 is 4 .
LCM of 441,9121 is 574623.
The greatest common factor of 3812/441,3660/9121 = [GCF of 3812,3660]/[LCM of 441,9121]= 4/574623
Therefore, the GCF of 3812/441,3660/9121 is 4/574623.
To find the highest common factor of 3812,3660, we have to find the factors of both numbers and list the highest common factor.
The factors of 3812 are 1, 2, 4, 953, 1906, 3812
The factors of 3660 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 61, 122, 183, 244, 305, 366, 610, 732, 915, 1220, 1830, 3660
The HCF of 3812,3660 is 4.
Lets's calculate GCF of 3812,3660
2 | 3812, 3660 |
2 | 1906, 1830 |
953, 915 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 3812
:1,2,4,953,1906,3812
Now, list down the factors of 3660
:1,2,3,4,5,6,10,12,15,20,30,60,61,122,183,244,305,366,610,732,915,1220,1830,3660
Greatest Common Factor
We found the factors 3812,3660 . The biggest common factor number is the GCF number.
So the greatest common factor 3812,3660 is 4.
Lets's calculate LCM of 441,9121
7 | 441, 9121 |
63, 1303 |
∴ So the LCM of the given numbers is 7 x 63 x 1303 = 574623
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/574623
Therefore, the GCF of Fractions 3812/441,3660/9121 is 4/574623
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 441,9121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(441,9121) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(441,9121) x common factors =7 x 1 = 7
LCM(441,9121) = ( 441 × 9121 ) / 7
LCM(441,9121) = 4022361 / 7
LCM(441,9121) = 574623
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3812,3660?
The HCF of 3812,3660 is 4
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 3812/441, 3660/9121?
Answer: GCF of Numerators as per given numbers 3812/441, 3660/9121 is
GCF of Numerators i.e. for 3812,3660 is 4
LCM of denominators i.e. for 441,9121 is 574623.
Thus, GCF of Fractions is 4/574623.Finally, GCF of Fractions for 3812/441, 3660/9121 is 4/574623.