Use our free GCF of Fractions Calculator tool to compute the GCF of 249/128, 417/589 i.e 3/75392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 249/128, 417/589.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 249/128,417/589
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 249/128,417/589, numerators are 249,417
Denominators are 128,589
The GCF of 249,417 is 3 .
LCM of 128,589 is 75392.
The greatest common factor of 249/128,417/589 = [GCF of 249,417]/[LCM of 128,589]= 3/75392
Therefore, the GCF of 249/128,417/589 is 3/75392.
To find the highest common factor of 249,417, we have to find the factors of both numbers and list the highest common factor.
The factors of 249 are 1, 3, 83, 249
The factors of 417 are 1, 3, 139, 417
The HCF of 249,417 is 3.
Lets's calculate GCF of 249,417
3 | 249, 417 |
83, 139 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 249
:1,3,83,249
Now, list down the factors of 417
:1,3,139,417
Greatest Common Factor
We found the factors 249,417 . The biggest common factor number is the GCF number.
So the greatest common factor 249,417 is 3.
Lets's calculate LCM of 128,589
Given numbers has no common factors except 1. So, there LCM is their product i.e 75392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/75392
Therefore, the GCF of Fractions 249/128,417/589 is 3/75392
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 128,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(128,589) x common factors =1 x 1 = 1
LCM(128,589) = ( 128 × 589 ) / 1
LCM(128,589) = 75392 / 1
LCM(128,589) = 75392
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 249,417?
The HCF of 249,417 is 3
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 249/128, 417/589?
Answer: GCF of Numerators as per given numbers 249/128, 417/589 is
GCF of Numerators i.e. for 249,417 is 3
LCM of denominators i.e. for 128,589 is 75392.
Thus, GCF of Fractions is 3/75392.Finally, GCF of Fractions for 249/128, 417/589 is 3/75392.