Use our free GCF of Fractions Calculator tool to compute the GCF of 186/500, 922/403 i.e 2/201500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 186/500, 922/403.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 186/500,922/403
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 186/500,922/403, numerators are 186,922
Denominators are 500,403
The GCF of 186,922 is 2 .
LCM of 500,403 is 201500.
The greatest common factor of 186/500,922/403 = [GCF of 186,922]/[LCM of 500,403]= 2/201500
Therefore, the GCF of 186/500,922/403 is 2/201500.
To find the highest common factor of 186,922, 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 922 are 1, 2, 461, 922
The HCF of 186,922 is 2.
Lets's calculate GCF of 186,922
2 | 186, 922 |
93, 461 |
∴ 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 922
:1,2,461,922
Greatest Common Factor
We found the factors 186,922 . The biggest common factor number is the GCF number.
So the greatest common factor 186,922 is 2.
Lets's calculate LCM of 500,403
Given numbers has no common factors except 1. So, there LCM is their product i.e 201500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/201500
Therefore, the GCF of Fractions 186/500,922/403 is 2/201500
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 500,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(500,403) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(500,403) x common factors =1 x 1 = 1
LCM(500,403) = ( 500 × 403 ) / 1
LCM(500,403) = 201500 / 1
LCM(500,403) = 201500
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 186,922?
The HCF of 186,922 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 186/500, 922/403?
Answer: GCF of Numerators as per given numbers 186/500, 922/403 is
GCF of Numerators i.e. for 186,922 is 2
LCM of denominators i.e. for 500,403 is 201500.
Thus, GCF of Fractions is 2/201500.Finally, GCF of Fractions for 186/500, 922/403 is 2/201500.