Use our free GCF of Fractions Calculator tool to compute the GCF of 149/501, 239/891 i.e 1/148797 easily. The following is the detailed procedure to determine the greatest common factor of fractions 149/501, 239/891.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 149/501,239/891
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 149/501,239/891, numerators are 149,239
Denominators are 501,891
The GCF of 149,239 is 1 .
LCM of 501,891 is 148797.
The greatest common factor of 149/501,239/891 = [GCF of 149,239]/[LCM of 501,891]= 1/148797
Therefore, the GCF of 149/501,239/891 is 1/148797.
To find the highest common factor of 149,239, we have to find the factors of both numbers and list the highest common factor.
The factors of 149 are 1, 149
The factors of 239 are 1, 239
The HCF of 149,239 is 1.
Lets's calculate GCF of 149,239
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 149
:1,149
Now, list down the factors of 239
:1,239
Greatest Common Factor
We found the factors 149,239 . The biggest common factor number is the GCF number.
So the greatest common factor 149,239 is 1.
Lets's calculate LCM of 501,891
3 | 501, 891 |
167, 297 |
∴ So the LCM of the given numbers is 3 x 167 x 297 = 148797
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148797
Therefore, the GCF of Fractions 149/501,239/891 is 1/148797
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 501,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(501,891) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(501,891) x common factors =3 x 1 = 3
LCM(501,891) = ( 501 × 891 ) / 3
LCM(501,891) = 446391 / 3
LCM(501,891) = 148797
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 149,239?
The HCF of 149,239 is 1
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 149/501, 239/891?
Answer: GCF of Numerators as per given numbers 149/501, 239/891 is
GCF of Numerators i.e. for 149,239 is 1
LCM of denominators i.e. for 501,891 is 148797.
Thus, GCF of Fractions is 1/148797.Finally, GCF of Fractions for 149/501, 239/891 is 1/148797.