Use our free GCF of Fractions Calculator tool to compute the GCF of 204/97, 499/1566 i.e 1/151902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 204/97, 499/1566.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 204/97,499/1566
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 204/97,499/1566, numerators are 204,499
Denominators are 97,1566
The GCF of 204,499 is 1 .
LCM of 97,1566 is 151902.
The greatest common factor of 204/97,499/1566 = [GCF of 204,499]/[LCM of 97,1566]= 1/151902
Therefore, the GCF of 204/97,499/1566 is 1/151902.
To find the highest common factor of 204,499, we have to find the factors of both numbers and list the highest common factor.
The factors of 204 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
The factors of 499 are 1, 499
The HCF of 204,499 is 1.
Lets's calculate GCF of 204,499
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 204
:1,2,3,4,6,12,17,34,51,68,102,204
Now, list down the factors of 499
:1,499
Greatest Common Factor
We found the factors 204,499 . The biggest common factor number is the GCF number.
So the greatest common factor 204,499 is 1.
Lets's calculate LCM of 97,1566
Given numbers has no common factors except 1. So, there LCM is their product i.e 151902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/151902
Therefore, the GCF of Fractions 204/97,499/1566 is 1/151902
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 97,1566 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,1566) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,1566) x common factors =1 x 1 = 1
LCM(97,1566) = ( 97 × 1566 ) / 1
LCM(97,1566) = 151902 / 1
LCM(97,1566) = 151902
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 204,499?
The HCF of 204,499 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 204/97, 499/1566?
Answer: GCF of Numerators as per given numbers 204/97, 499/1566 is
GCF of Numerators i.e. for 204,499 is 1
LCM of denominators i.e. for 97,1566 is 151902.
Thus, GCF of Fractions is 1/151902.Finally, GCF of Fractions for 204/97, 499/1566 is 1/151902.