Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 105/1687,186/6819
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 105,186
Greatest Common Factor of Numerators i.e. GCF of 105,186 is 3 .
LCM of Denominators means LCM of 1687,6819 as per the given fractions.
LCM of 1687,6819 is 11503653 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 105,186
3 | 105, 186 |
35, 62 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 105
List of positive integer factors of 105 that divides 105 without a remainder.
1,3,5,7,15,21,35,105
Factors of 186
List of positive integer factors of 186 that divides 186 without a remainder.
1,2,3,6,31,62,93,186
Greatest Common Factor
We found the factors 105,186 . The biggest common factor number is the GCF number.
So the greatest common factor 105,186 is 3.
Lets's calculate LCM of 1687,6819
Given numbers has no common factors except 1. So, there LCM is their product i.e 11503653
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/11503653
Therefore, the GCF of Fractions 105/1687,186/6819 is 3/11503653
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 1687,6819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1687,6819) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1687,6819) x common factors =1 x 1 = 1
LCM(1687,6819) = ( 1687 × 6819 ) / 1
LCM(1687,6819) = 11503653 / 1
LCM(1687,6819) = 11503653
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 105/1687, 186/6819?
Answer: GCF of Numerators as per given numbers 105/1687, 186/6819 is
GCF of Numerators i.e. for 105,186 is 3
LCM of denominators i.e. for 1687,6819 is 11503653.
Thus, GCF of Fractions is 3/11503653.Finally, GCF of Fractions for 105/1687, 186/6819 is 3/11503653.