Use our free GCF of Fractions Calculator tool to compute the GCF of 495/993, 173/342 i.e 1/113202 easily. The following is the detailed procedure to determine the greatest common factor of fractions 495/993, 173/342.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 495/993,173/342
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 495/993,173/342, numerators are 495,173
Denominators are 993,342
The GCF of 495,173 is 1 .
LCM of 993,342 is 113202.
The greatest common factor of 495/993,173/342 = [GCF of 495,173]/[LCM of 993,342]= 1/113202
Therefore, the GCF of 495/993,173/342 is 1/113202.
To find the highest common factor of 495,173, we have to find the factors of both numbers and list the highest common factor.
The factors of 495 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
The factors of 173 are 1, 173
The HCF of 495,173 is 1.
Lets's calculate GCF of 495,173
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 495
:1,3,5,9,11,15,33,45,55,99,165,495
Now, list down the factors of 173
:1,173
Greatest Common Factor
We found the factors 495,173 . The biggest common factor number is the GCF number.
So the greatest common factor 495,173 is 1.
Lets's calculate LCM of 993,342
3 | 993, 342 |
331, 114 |
∴ So the LCM of the given numbers is 3 x 331 x 114 = 113202
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113202
Therefore, the GCF of Fractions 495/993,173/342 is 1/113202
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 993,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(993,342) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(993,342) x common factors =3 x 1 = 3
LCM(993,342) = ( 993 × 342 ) / 3
LCM(993,342) = 339606 / 3
LCM(993,342) = 113202
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 495,173?
The HCF of 495,173 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 495/993, 173/342?
Answer: GCF of Numerators as per given numbers 495/993, 173/342 is
GCF of Numerators i.e. for 495,173 is 1
LCM of denominators i.e. for 993,342 is 113202.
Thus, GCF of Fractions is 1/113202.Finally, GCF of Fractions for 495/993, 173/342 is 1/113202.