Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 11/18,418/17,206/609
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 11,418,206
Greatest Common Factor of Numerators i.e. GCF of 11,418,206 is 1 .
LCM of Denominators means LCM of 18,17,609 as per the given fractions.
LCM of 18,17,609 is 62118 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 11,418,206
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 418
List of positive integer factors of 418 that divides 418 without a remainder.
1,2,11,19,22,38,209,418
Factors of 206
List of positive integer factors of 206 that divides 206 without a remainder.
1,2,103,206
Greatest Common Factor
We found the factors 11,418,206 . The biggest common factor number is the GCF number.
So the greatest common factor 11,418,206 is 1.
Lets's calculate LCM of 18,17,609
3 | 18, 17, 609 |
6, 17, 203 |
∴ So the LCM of the given numbers is 3 x 6 x 17 x 203 = 62118
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62118
Therefore, the GCF of Fractions 11/18,418/17,206/609 is 1/62118
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 18,17,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,17,609) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(18,17,609) x common factors =1 x 3 = 3
LCM(18,17,609) = ( 18 × 17 × 609 ) / 3
LCM(18,17,609) = 186354 / 3
LCM(18,17,609) = 62118
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 11/18, 418/17, 206/609?
Answer: GCF of Numerators as per given numbers 11/18, 418/17, 206/609 is
GCF of Numerators i.e. for 11,418,206 is 1
LCM of denominators i.e. for 18,17,609 is 62118.
Thus, GCF of Fractions is 1/62118.Finally, GCF of Fractions for 11/18, 418/17, 206/609 is 1/62118.