Use our free GCF of Fractions Calculator tool to compute the GCF of 204/683, 373/232 i.e 1/158456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 204/683, 373/232.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 204/683,373/232
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 204/683,373/232, numerators are 204,373
Denominators are 683,232
The GCF of 204,373 is 1 .
LCM of 683,232 is 158456.
The greatest common factor of 204/683,373/232 = [GCF of 204,373]/[LCM of 683,232]= 1/158456
Therefore, the GCF of 204/683,373/232 is 1/158456.
To find the highest common factor of 204,373, 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 373 are 1, 373
The HCF of 204,373 is 1.
Lets's calculate GCF of 204,373
∴ 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 373
:1,373
Greatest Common Factor
We found the factors 204,373 . The biggest common factor number is the GCF number.
So the greatest common factor 204,373 is 1.
Lets's calculate LCM of 683,232
Given numbers has no common factors except 1. So, there LCM is their product i.e 158456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/158456
Therefore, the GCF of Fractions 204/683,373/232 is 1/158456
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 683,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(683,232) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(683,232) x common factors =1 x 1 = 1
LCM(683,232) = ( 683 × 232 ) / 1
LCM(683,232) = 158456 / 1
LCM(683,232) = 158456
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 204,373?
The HCF of 204,373 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 204/683, 373/232?
Answer: GCF of Numerators as per given numbers 204/683, 373/232 is
GCF of Numerators i.e. for 204,373 is 1
LCM of denominators i.e. for 683,232 is 158456.
Thus, GCF of Fractions is 1/158456.Finally, GCF of Fractions for 204/683, 373/232 is 1/158456.