Use our free GCF of Fractions Calculator tool to compute the GCF of 886/447, 484/459 i.e 2/68391 easily. The following is the detailed procedure to determine the greatest common factor of fractions 886/447, 484/459.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 886/447,484/459
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 886/447,484/459, numerators are 886,484
Denominators are 447,459
The GCF of 886,484 is 2 .
LCM of 447,459 is 68391.
The greatest common factor of 886/447,484/459 = [GCF of 886,484]/[LCM of 447,459]= 2/68391
Therefore, the GCF of 886/447,484/459 is 2/68391.
To find the highest common factor of 886,484, we have to find the factors of both numbers and list the highest common factor.
The factors of 886 are 1, 2, 443, 886
The factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, 484
The HCF of 886,484 is 2.
Lets's calculate GCF of 886,484
2 | 886, 484 |
443, 242 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 886
:1,2,443,886
Now, list down the factors of 484
:1,2,4,11,22,44,121,242,484
Greatest Common Factor
We found the factors 886,484 . The biggest common factor number is the GCF number.
So the greatest common factor 886,484 is 2.
Lets's calculate LCM of 447,459
3 | 447, 459 |
149, 153 |
∴ So the LCM of the given numbers is 3 x 149 x 153 = 68391
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/68391
Therefore, the GCF of Fractions 886/447,484/459 is 2/68391
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 447,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(447,459) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(447,459) x common factors =3 x 1 = 3
LCM(447,459) = ( 447 × 459 ) / 3
LCM(447,459) = 205173 / 3
LCM(447,459) = 68391
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 886,484?
The HCF of 886,484 is 2
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 886/447, 484/459?
Answer: GCF of Numerators as per given numbers 886/447, 484/459 is
GCF of Numerators i.e. for 886,484 is 2
LCM of denominators i.e. for 447,459 is 68391.
Thus, GCF of Fractions is 2/68391.Finally, GCF of Fractions for 886/447, 484/459 is 2/68391.