Use our free GCF of Fractions Calculator tool to compute the GCF of 204/657, 873/362 i.e 3/237834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 204/657, 873/362.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 204/657,873/362
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 204/657,873/362, numerators are 204,873
Denominators are 657,362
The GCF of 204,873 is 3 .
LCM of 657,362 is 237834.
The greatest common factor of 204/657,873/362 = [GCF of 204,873]/[LCM of 657,362]= 3/237834
Therefore, the GCF of 204/657,873/362 is 3/237834.
To find the highest common factor of 204,873, 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 873 are 1, 3, 9, 97, 291, 873
The HCF of 204,873 is 3.
Lets's calculate GCF of 204,873
3 | 204, 873 |
68, 291 |
∴ So the GCF of the given numbers is 3 = 3
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 873
:1,3,9,97,291,873
Greatest Common Factor
We found the factors 204,873 . The biggest common factor number is the GCF number.
So the greatest common factor 204,873 is 3.
Lets's calculate LCM of 657,362
Given numbers has no common factors except 1. So, there LCM is their product i.e 237834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/237834
Therefore, the GCF of Fractions 204/657,873/362 is 3/237834
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 657,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(657,362) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(657,362) x common factors =1 x 1 = 1
LCM(657,362) = ( 657 × 362 ) / 1
LCM(657,362) = 237834 / 1
LCM(657,362) = 237834
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 204,873?
The HCF of 204,873 is 3
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 204/657, 873/362?
Answer: GCF of Numerators as per given numbers 204/657, 873/362 is
GCF of Numerators i.e. for 204,873 is 3
LCM of denominators i.e. for 657,362 is 237834.
Thus, GCF of Fractions is 3/237834.Finally, GCF of Fractions for 204/657, 873/362 is 3/237834.