Use our free GCF of Fractions Calculator tool to compute the GCF of 38/97, 605/39, 566/538 i.e 1/2035254 easily. The following is the detailed procedure to determine the greatest common factor of fractions 38/97, 605/39, 566/538.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 38/97,605/39,566/538
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 38/97,605/39,566/538, numerators are 38,605,566
Denominators are 97,39,538
The GCF of 38,605,566 is 1 .
LCM of 97,39,538 is 2035254.
The greatest common factor of 38/97,605/39,566/538 = [GCF of 38,605,566]/[LCM of 97,39,538]= 1/2035254
Therefore, the GCF of 38/97,605/39,566/538 is 1/2035254.
To find the highest common factor of 38,605,566, we have to find the factors of both numbers and list the highest common factor.
The factors of 38 are 1, 2, 19, 38
The factors of 605 are 1, 5, 11, 55, 121, 605
The factors of 566 are 1, 2, 283, 566
The HCF of 38,605,566 is 1.
Lets's calculate GCF of 38,605,566
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 38
:1,2,19,38
Now, list down the factors of 605
:1,5,11,55,121,605
Now, list down the factors of 566
:1,2,283,566
Greatest Common Factor
We found the factors 38,605,566 . The biggest common factor number is the GCF number.
So the greatest common factor 38,605,566 is 1.
Lets's calculate LCM of 97,39,538
Given numbers has no common factors except 1. So, there LCM is their product i.e 2035254
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2035254
Therefore, the GCF of Fractions 38/97,605/39,566/538 is 1/2035254
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 97,39,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,39,538) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,39,538) x common factors =1 x 1 = 1
LCM(97,39,538) = ( 97 × 39 × 538 ) / 1
LCM(97,39,538) = 2035254 / 1
LCM(97,39,538) = 2035254
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 38,605,566?
The HCF of 38,605,566 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 38/97, 605/39, 566/538?
Answer: GCF of Numerators as per given numbers 38/97, 605/39, 566/538 is
GCF of Numerators i.e. for 38,605,566 is 1
LCM of denominators i.e. for 97,39,538 is 2035254.
Thus, GCF of Fractions is 1/2035254.Finally, GCF of Fractions for 38/97, 605/39, 566/538 is 1/2035254.