Use our free GCF of Fractions Calculator tool to compute the GCF of 445/273, 129/334 i.e 1/91182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 445/273, 129/334.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 445/273,129/334
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 445/273,129/334, numerators are 445,129
Denominators are 273,334
The GCF of 445,129 is 1 .
LCM of 273,334 is 91182.
The greatest common factor of 445/273,129/334 = [GCF of 445,129]/[LCM of 273,334]= 1/91182
Therefore, the GCF of 445/273,129/334 is 1/91182.
To find the highest common factor of 445,129, we have to find the factors of both numbers and list the highest common factor.
The factors of 445 are 1, 5, 89, 445
The factors of 129 are 1, 3, 43, 129
The HCF of 445,129 is 1.
Lets's calculate GCF of 445,129
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 445
:1,5,89,445
Now, list down the factors of 129
:1,3,43,129
Greatest Common Factor
We found the factors 445,129 . The biggest common factor number is the GCF number.
So the greatest common factor 445,129 is 1.
Lets's calculate LCM of 273,334
Given numbers has no common factors except 1. So, there LCM is their product i.e 91182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91182
Therefore, the GCF of Fractions 445/273,129/334 is 1/91182
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 273,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,334) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(273,334) x common factors =1 x 1 = 1
LCM(273,334) = ( 273 × 334 ) / 1
LCM(273,334) = 91182 / 1
LCM(273,334) = 91182
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 445,129?
The HCF of 445,129 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 445/273, 129/334?
Answer: GCF of Numerators as per given numbers 445/273, 129/334 is
GCF of Numerators i.e. for 445,129 is 1
LCM of denominators i.e. for 273,334 is 91182.
Thus, GCF of Fractions is 1/91182.Finally, GCF of Fractions for 445/273, 129/334 is 1/91182.