Use our free GCF of Fractions Calculator tool to compute the GCF of 17/53, 345/95, 113/325 i.e 1/327275 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/53, 345/95, 113/325.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 17/53,345/95,113/325
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 17/53,345/95,113/325, numerators are 17,345,113
Denominators are 53,95,325
The GCF of 17,345,113 is 1 .
LCM of 53,95,325 is 327275.
The greatest common factor of 17/53,345/95,113/325 = [GCF of 17,345,113]/[LCM of 53,95,325]= 1/327275
Therefore, the GCF of 17/53,345/95,113/325 is 1/327275.
To find the highest common factor of 17,345,113, we have to find the factors of both numbers and list the highest common factor.
The factors of 17 are 1, 17
The factors of 345 are 1, 3, 5, 15, 23, 69, 115, 345
The factors of 113 are 1, 113
The HCF of 17,345,113 is 1.
Lets's calculate GCF of 17,345,113
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 17
:1,17
Now, list down the factors of 345
:1,3,5,15,23,69,115,345
Now, list down the factors of 113
:1,113
Greatest Common Factor
We found the factors 17,345,113 . The biggest common factor number is the GCF number.
So the greatest common factor 17,345,113 is 1.
Lets's calculate LCM of 53,95,325
5 | 53, 95, 325 |
53, 19, 65 |
∴ So the LCM of the given numbers is 5 x 53 x 19 x 65 = 327275
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/327275
Therefore, the GCF of Fractions 17/53,345/95,113/325 is 1/327275
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 53,95,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,95,325) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(53,95,325) x common factors =1 x 5 = 5
LCM(53,95,325) = ( 53 × 95 × 325 ) / 5
LCM(53,95,325) = 1636375 / 5
LCM(53,95,325) = 327275
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 17,345,113?
The HCF of 17,345,113 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 17/53, 345/95, 113/325?
Answer: GCF of Numerators as per given numbers 17/53, 345/95, 113/325 is
GCF of Numerators i.e. for 17,345,113 is 1
LCM of denominators i.e. for 53,95,325 is 327275.
Thus, GCF of Fractions is 1/327275.Finally, GCF of Fractions for 17/53, 345/95, 113/325 is 1/327275.