Use our free GCF of Fractions Calculator tool to compute the GCF of 186/206, 194/803 i.e 2/165418 easily. The following is the detailed procedure to determine the greatest common factor of fractions 186/206, 194/803.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 186/206,194/803
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 186/206,194/803, numerators are 186,194
Denominators are 206,803
The GCF of 186,194 is 2 .
LCM of 206,803 is 165418.
The greatest common factor of 186/206,194/803 = [GCF of 186,194]/[LCM of 206,803]= 2/165418
Therefore, the GCF of 186/206,194/803 is 2/165418.
To find the highest common factor of 186,194, we have to find the factors of both numbers and list the highest common factor.
The factors of 186 are 1, 2, 3, 6, 31, 62, 93, 186
The factors of 194 are 1, 2, 97, 194
The HCF of 186,194 is 2.
Lets's calculate GCF of 186,194
2 | 186, 194 |
93, 97 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 186
:1,2,3,6,31,62,93,186
Now, list down the factors of 194
:1,2,97,194
Greatest Common Factor
We found the factors 186,194 . The biggest common factor number is the GCF number.
So the greatest common factor 186,194 is 2.
Lets's calculate LCM of 206,803
Given numbers has no common factors except 1. So, there LCM is their product i.e 165418
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/165418
Therefore, the GCF of Fractions 186/206,194/803 is 2/165418
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 206,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,803) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(206,803) x common factors =1 x 1 = 1
LCM(206,803) = ( 206 × 803 ) / 1
LCM(206,803) = 165418 / 1
LCM(206,803) = 165418
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 186,194?
The HCF of 186,194 is 2
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 186/206, 194/803?
Answer: GCF of Numerators as per given numbers 186/206, 194/803 is
GCF of Numerators i.e. for 186,194 is 2
LCM of denominators i.e. for 206,803 is 165418.
Thus, GCF of Fractions is 2/165418.Finally, GCF of Fractions for 186/206, 194/803 is 2/165418.