Use our free GCF of Fractions Calculator tool to compute the GCF of 404/892, 484/596 i.e 4/132908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 404/892, 484/596.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 404/892,484/596
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 404/892,484/596, numerators are 404,484
Denominators are 892,596
The GCF of 404,484 is 4 .
LCM of 892,596 is 132908.
The greatest common factor of 404/892,484/596 = [GCF of 404,484]/[LCM of 892,596]= 4/132908
Therefore, the GCF of 404/892,484/596 is 4/132908.
To find the highest common factor of 404,484, we have to find the factors of both numbers and list the highest common factor.
The factors of 404 are 1, 2, 4, 101, 202, 404
The factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, 484
The HCF of 404,484 is 4.
Lets's calculate GCF of 404,484
2 | 404, 484 |
2 | 202, 242 |
101, 121 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 404
:1,2,4,101,202,404
Now, list down the factors of 484
:1,2,4,11,22,44,121,242,484
Greatest Common Factor
We found the factors 404,484 . The biggest common factor number is the GCF number.
So the greatest common factor 404,484 is 4.
Lets's calculate LCM of 892,596
2 | 892, 596 |
2 | 446, 298 |
223, 149 |
∴ So the LCM of the given numbers is 2 x 2 x 223 x 149 = 132908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/132908
Therefore, the GCF of Fractions 404/892,484/596 is 4/132908
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 892,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,596) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(892,596) x common factors =4 x 1 = 4
LCM(892,596) = ( 892 × 596 ) / 4
LCM(892,596) = 531632 / 4
LCM(892,596) = 132908
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 404,484?
The HCF of 404,484 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 404/892, 484/596?
Answer: GCF of Numerators as per given numbers 404/892, 484/596 is
GCF of Numerators i.e. for 404,484 is 4
LCM of denominators i.e. for 892,596 is 132908.
Thus, GCF of Fractions is 4/132908.Finally, GCF of Fractions for 404/892, 484/596 is 4/132908.