Use our free GCF of Fractions Calculator tool to compute the GCF of 23/57, 254/97, 605/131 i.e 1/724299 easily. The following is the detailed procedure to determine the greatest common factor of fractions 23/57, 254/97, 605/131.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 23/57,254/97,605/131
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 23/57,254/97,605/131, numerators are 23,254,605
Denominators are 57,97,131
The GCF of 23,254,605 is 1 .
LCM of 57,97,131 is 724299.
The greatest common factor of 23/57,254/97,605/131 = [GCF of 23,254,605]/[LCM of 57,97,131]= 1/724299
Therefore, the GCF of 23/57,254/97,605/131 is 1/724299.
To find the highest common factor of 23,254,605, we have to find the factors of both numbers and list the highest common factor.
The factors of 23 are 1, 23
The factors of 254 are 1, 2, 127, 254
The factors of 605 are 1, 5, 11, 55, 121, 605
The HCF of 23,254,605 is 1.
Lets's calculate GCF of 23,254,605
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 23
:1,23
Now, list down the factors of 254
:1,2,127,254
Now, list down the factors of 605
:1,5,11,55,121,605
Greatest Common Factor
We found the factors 23,254,605 . The biggest common factor number is the GCF number.
So the greatest common factor 23,254,605 is 1.
Lets's calculate LCM of 57,97,131
Given numbers has no common factors except 1. So, there LCM is their product i.e 724299
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/724299
Therefore, the GCF of Fractions 23/57,254/97,605/131 is 1/724299
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 57,97,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,97,131) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,97,131) x common factors =1 x 1 = 1
LCM(57,97,131) = ( 57 × 97 × 131 ) / 1
LCM(57,97,131) = 724299 / 1
LCM(57,97,131) = 724299
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 23,254,605?
The HCF of 23,254,605 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 23/57, 254/97, 605/131?
Answer: GCF of Numerators as per given numbers 23/57, 254/97, 605/131 is
GCF of Numerators i.e. for 23,254,605 is 1
LCM of denominators i.e. for 57,97,131 is 724299.
Thus, GCF of Fractions is 1/724299.Finally, GCF of Fractions for 23/57, 254/97, 605/131 is 1/724299.