Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3186/198,7171/1018
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 3186,7171
Greatest Common Factor of Numerators i.e. GCF of 3186,7171 is 1 .
LCM of Denominators means LCM of 198,1018 as per the given fractions.
LCM of 198,1018 is 100782 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3186,7171
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3186
List of positive integer factors of 3186 that divides 3186 without a remainder.
1,2,3,6,9,18,27,54,59,118,177,354,531,1062,1593,3186
Factors of 7171
List of positive integer factors of 7171 that divides 7171 without a remainder.
1,71,101,7171
Greatest Common Factor
We found the factors 3186,7171 . The biggest common factor number is the GCF number.
So the greatest common factor 3186,7171 is 1.
Lets's calculate LCM of 198,1018
2 | 198, 1018 |
99, 509 |
∴ So the LCM of the given numbers is 2 x 99 x 509 = 100782
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100782
Therefore, the GCF of Fractions 3186/198,7171/1018 is 1/100782
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 198,1018 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(198,1018) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(198,1018) x common factors =2 x 1 = 2
LCM(198,1018) = ( 198 × 1018 ) / 2
LCM(198,1018) = 201564 / 2
LCM(198,1018) = 100782
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 3186/198, 7171/1018?
Answer: GCF of Numerators as per given numbers 3186/198, 7171/1018 is
GCF of Numerators i.e. for 3186,7171 is 1
LCM of denominators i.e. for 198,1018 is 100782.
Thus, GCF of Fractions is 1/100782.Finally, GCF of Fractions for 3186/198, 7171/1018 is 1/100782.