Use our free GCF of Fractions Calculator tool to compute the GCF of 438/143, 366/459 i.e 6/65637 easily. The following is the detailed procedure to determine the greatest common factor of fractions 438/143, 366/459.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 438/143,366/459
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 438/143,366/459, numerators are 438,366
Denominators are 143,459
The GCF of 438,366 is 6 .
LCM of 143,459 is 65637.
The greatest common factor of 438/143,366/459 = [GCF of 438,366]/[LCM of 143,459]= 6/65637
Therefore, the GCF of 438/143,366/459 is 6/65637.
To find the highest common factor of 438,366, we have to find the factors of both numbers and list the highest common factor.
The factors of 438 are 1, 2, 3, 6, 73, 146, 219, 438
The factors of 366 are 1, 2, 3, 6, 61, 122, 183, 366
The HCF of 438,366 is 6.
Lets's calculate GCF of 438,366
2 | 438, 366 |
3 | 219, 183 |
73, 61 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Now, list down the factors of 438
:1,2,3,6,73,146,219,438
Now, list down the factors of 366
:1,2,3,6,61,122,183,366
Greatest Common Factor
We found the factors 438,366 . The biggest common factor number is the GCF number.
So the greatest common factor 438,366 is 6.
Lets's calculate LCM of 143,459
Given numbers has no common factors except 1. So, there LCM is their product i.e 65637
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/65637
Therefore, the GCF of Fractions 438/143,366/459 is 6/65637
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 143,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(143,459) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(143,459) x common factors =1 x 1 = 1
LCM(143,459) = ( 143 × 459 ) / 1
LCM(143,459) = 65637 / 1
LCM(143,459) = 65637
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 438,366?
The HCF of 438,366 is 6
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 438/143, 366/459?
Answer: GCF of Numerators as per given numbers 438/143, 366/459 is
GCF of Numerators i.e. for 438,366 is 6
LCM of denominators i.e. for 143,459 is 65637.
Thus, GCF of Fractions is 6/65637.Finally, GCF of Fractions for 438/143, 366/459 is 6/65637.