Use our free GCF of Fractions Calculator tool to compute the GCF of 419/311, 332/252 i.e 1/78372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 419/311, 332/252.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 419/311,332/252
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 419/311,332/252, numerators are 419,332
Denominators are 311,252
The GCF of 419,332 is 1 .
LCM of 311,252 is 78372.
The greatest common factor of 419/311,332/252 = [GCF of 419,332]/[LCM of 311,252]= 1/78372
Therefore, the GCF of 419/311,332/252 is 1/78372.
To find the highest common factor of 419,332, we have to find the factors of both numbers and list the highest common factor.
The factors of 419 are 1, 419
The factors of 332 are 1, 2, 4, 83, 166, 332
The HCF of 419,332 is 1.
Lets's calculate GCF of 419,332
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 419
:1,419
Now, list down the factors of 332
:1,2,4,83,166,332
Greatest Common Factor
We found the factors 419,332 . The biggest common factor number is the GCF number.
So the greatest common factor 419,332 is 1.
Lets's calculate LCM of 311,252
Given numbers has no common factors except 1. So, there LCM is their product i.e 78372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78372
Therefore, the GCF of Fractions 419/311,332/252 is 1/78372
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 311,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,252) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,252) x common factors =1 x 1 = 1
LCM(311,252) = ( 311 × 252 ) / 1
LCM(311,252) = 78372 / 1
LCM(311,252) = 78372
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 419,332?
The HCF of 419,332 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 419/311, 332/252?
Answer: GCF of Numerators as per given numbers 419/311, 332/252 is
GCF of Numerators i.e. for 419,332 is 1
LCM of denominators i.e. for 311,252 is 78372.
Thus, GCF of Fractions is 1/78372.Finally, GCF of Fractions for 419/311, 332/252 is 1/78372.