Use our free GCF of Fractions Calculator tool to compute the GCF of 27/57, 194/73, 475/408 i.e 1/565896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 27/57, 194/73, 475/408.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 27/57,194/73,475/408
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 27/57,194/73,475/408, numerators are 27,194,475
Denominators are 57,73,408
The GCF of 27,194,475 is 1 .
LCM of 57,73,408 is 565896.
The greatest common factor of 27/57,194/73,475/408 = [GCF of 27,194,475]/[LCM of 57,73,408]= 1/565896
Therefore, the GCF of 27/57,194/73,475/408 is 1/565896.
To find the highest common factor of 27,194,475, we have to find the factors of both numbers and list the highest common factor.
The factors of 27 are 1, 3, 9, 27
The factors of 194 are 1, 2, 97, 194
The factors of 475 are 1, 5, 19, 25, 95, 475
The HCF of 27,194,475 is 1.
Lets's calculate GCF of 27,194,475
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 27
:1,3,9,27
Now, list down the factors of 194
:1,2,97,194
Now, list down the factors of 475
:1,5,19,25,95,475
Greatest Common Factor
We found the factors 27,194,475 . The biggest common factor number is the GCF number.
So the greatest common factor 27,194,475 is 1.
Lets's calculate LCM of 57,73,408
3 | 57, 73, 408 |
19, 73, 136 |
∴ So the LCM of the given numbers is 3 x 19 x 73 x 136 = 565896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/565896
Therefore, the GCF of Fractions 27/57,194/73,475/408 is 1/565896
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 57,73,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,73,408) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(57,73,408) x common factors =1 x 3 = 3
LCM(57,73,408) = ( 57 × 73 × 408 ) / 3
LCM(57,73,408) = 1697688 / 3
LCM(57,73,408) = 565896
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 27,194,475?
The HCF of 27,194,475 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 27/57, 194/73, 475/408?
Answer: GCF of Numerators as per given numbers 27/57, 194/73, 475/408 is
GCF of Numerators i.e. for 27,194,475 is 1
LCM of denominators i.e. for 57,73,408 is 565896.
Thus, GCF of Fractions is 1/565896.Finally, GCF of Fractions for 27/57, 194/73, 475/408 is 1/565896.