Use our free GCF of Fractions Calculator tool to compute the GCF of 519/333, 146/149 i.e 1/49617 easily. The following is the detailed procedure to determine the greatest common factor of fractions 519/333, 146/149.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 519/333,146/149
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 519/333,146/149, numerators are 519,146
Denominators are 333,149
The GCF of 519,146 is 1 .
LCM of 333,149 is 49617.
The greatest common factor of 519/333,146/149 = [GCF of 519,146]/[LCM of 333,149]= 1/49617
Therefore, the GCF of 519/333,146/149 is 1/49617.
To find the highest common factor of 519,146, we have to find the factors of both numbers and list the highest common factor.
The factors of 519 are 1, 3, 173, 519
The factors of 146 are 1, 2, 73, 146
The HCF of 519,146 is 1.
Lets's calculate GCF of 519,146
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 519
:1,3,173,519
Now, list down the factors of 146
:1,2,73,146
Greatest Common Factor
We found the factors 519,146 . The biggest common factor number is the GCF number.
So the greatest common factor 519,146 is 1.
Lets's calculate LCM of 333,149
Given numbers has no common factors except 1. So, there LCM is their product i.e 49617
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49617
Therefore, the GCF of Fractions 519/333,146/149 is 1/49617
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 333,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(333,149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(333,149) x common factors =1 x 1 = 1
LCM(333,149) = ( 333 × 149 ) / 1
LCM(333,149) = 49617 / 1
LCM(333,149) = 49617
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 519,146?
The HCF of 519,146 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 519/333, 146/149?
Answer: GCF of Numerators as per given numbers 519/333, 146/149 is
GCF of Numerators i.e. for 519,146 is 1
LCM of denominators i.e. for 333,149 is 49617.
Thus, GCF of Fractions is 1/49617.Finally, GCF of Fractions for 519/333, 146/149 is 1/49617.