Use our free GCF of Fractions Calculator tool to compute the GCF of 353/21, 605/76, 325/177 i.e 1/94164 easily. The following is the detailed procedure to determine the greatest common factor of fractions 353/21, 605/76, 325/177.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 353/21,605/76,325/177
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 353/21,605/76,325/177, numerators are 353,605,325
Denominators are 21,76,177
The GCF of 353,605,325 is 1 .
LCM of 21,76,177 is 94164.
The greatest common factor of 353/21,605/76,325/177 = [GCF of 353,605,325]/[LCM of 21,76,177]= 1/94164
Therefore, the GCF of 353/21,605/76,325/177 is 1/94164.
To find the highest common factor of 353,605,325, we have to find the factors of both numbers and list the highest common factor.
The factors of 353 are 1, 353
The factors of 605 are 1, 5, 11, 55, 121, 605
The factors of 325 are 1, 5, 13, 25, 65, 325
The HCF of 353,605,325 is 1.
Lets's calculate GCF of 353,605,325
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 353
:1,353
Now, list down the factors of 605
:1,5,11,55,121,605
Now, list down the factors of 325
:1,5,13,25,65,325
Greatest Common Factor
We found the factors 353,605,325 . The biggest common factor number is the GCF number.
So the greatest common factor 353,605,325 is 1.
Lets's calculate LCM of 21,76,177
3 | 21, 76, 177 |
7, 76, 59 |
∴ So the LCM of the given numbers is 3 x 7 x 76 x 59 = 94164
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/94164
Therefore, the GCF of Fractions 353/21,605/76,325/177 is 1/94164
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 21,76,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,76,177) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(21,76,177) x common factors =1 x 3 = 3
LCM(21,76,177) = ( 21 × 76 × 177 ) / 3
LCM(21,76,177) = 282492 / 3
LCM(21,76,177) = 94164
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 353,605,325?
The HCF of 353,605,325 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 353/21, 605/76, 325/177?
Answer: GCF of Numerators as per given numbers 353/21, 605/76, 325/177 is
GCF of Numerators i.e. for 353,605,325 is 1
LCM of denominators i.e. for 21,76,177 is 94164.
Thus, GCF of Fractions is 1/94164.Finally, GCF of Fractions for 353/21, 605/76, 325/177 is 1/94164.