Use our free GCF of Fractions Calculator tool to compute the GCF of 132/457, 857/419 i.e 1/191483 easily. The following is the detailed procedure to determine the greatest common factor of fractions 132/457, 857/419.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 132/457,857/419
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 132/457,857/419, numerators are 132,857
Denominators are 457,419
The GCF of 132,857 is 1 .
LCM of 457,419 is 191483.
The greatest common factor of 132/457,857/419 = [GCF of 132,857]/[LCM of 457,419]= 1/191483
Therefore, the GCF of 132/457,857/419 is 1/191483.
To find the highest common factor of 132,857, we have to find the factors of both numbers and list the highest common factor.
The factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
The factors of 857 are 1, 857
The HCF of 132,857 is 1.
Lets's calculate GCF of 132,857
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 132
:1,2,3,4,6,11,12,22,33,44,66,132
Now, list down the factors of 857
:1,857
Greatest Common Factor
We found the factors 132,857 . The biggest common factor number is the GCF number.
So the greatest common factor 132,857 is 1.
Lets's calculate LCM of 457,419
Given numbers has no common factors except 1. So, there LCM is their product i.e 191483
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/191483
Therefore, the GCF of Fractions 132/457,857/419 is 1/191483
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 457,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,419) x common factors =1 x 1 = 1
LCM(457,419) = ( 457 × 419 ) / 1
LCM(457,419) = 191483 / 1
LCM(457,419) = 191483
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 132,857?
The HCF of 132,857 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 132/457, 857/419?
Answer: GCF of Numerators as per given numbers 132/457, 857/419 is
GCF of Numerators i.e. for 132,857 is 1
LCM of denominators i.e. for 457,419 is 191483.
Thus, GCF of Fractions is 1/191483.Finally, GCF of Fractions for 132/457, 857/419 is 1/191483.