Use our free GCF of Fractions Calculator tool to compute the GCF of 1446/618, 8158/1433 i.e 2/885594 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1446/618, 8158/1433.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1446/618,8158/1433
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 1446/618,8158/1433, numerators are 1446,8158
Denominators are 618,1433
The GCF of 1446,8158 is 2 .
LCM of 618,1433 is 885594.
The greatest common factor of 1446/618,8158/1433 = [GCF of 1446,8158]/[LCM of 618,1433]= 2/885594
Therefore, the GCF of 1446/618,8158/1433 is 2/885594.
To find the highest common factor of 1446,8158, we have to find the factors of both numbers and list the highest common factor.
The factors of 1446 are 1, 2, 3, 6, 241, 482, 723, 1446
The factors of 8158 are 1, 2, 4079, 8158
The HCF of 1446,8158 is 2.
Lets's calculate GCF of 1446,8158
2 | 1446, 8158 |
723, 4079 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 1446
:1,2,3,6,241,482,723,1446
Now, list down the factors of 8158
:1,2,4079,8158
Greatest Common Factor
We found the factors 1446,8158 . The biggest common factor number is the GCF number.
So the greatest common factor 1446,8158 is 2.
Lets's calculate LCM of 618,1433
Given numbers has no common factors except 1. So, there LCM is their product i.e 885594
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/885594
Therefore, the GCF of Fractions 1446/618,8158/1433 is 2/885594
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 618,1433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(618,1433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(618,1433) x common factors =1 x 1 = 1
LCM(618,1433) = ( 618 × 1433 ) / 1
LCM(618,1433) = 885594 / 1
LCM(618,1433) = 885594
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1446,8158?
The HCF of 1446,8158 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 1446/618, 8158/1433?
Answer: GCF of Numerators as per given numbers 1446/618, 8158/1433 is
GCF of Numerators i.e. for 1446,8158 is 2
LCM of denominators i.e. for 618,1433 is 885594.
Thus, GCF of Fractions is 2/885594.Finally, GCF of Fractions for 1446/618, 8158/1433 is 2/885594.