Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 103/66,181/81,517/394
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 103,181,517
Greatest Common Factor of Numerators i.e. GCF of 103,181,517 is 1 .
LCM of Denominators means LCM of 66,81,394 as per the given fractions.
LCM of 66,81,394 is 351054 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 103,181,517
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 103
List of positive integer factors of 103 that divides 103 without a remainder.
1,103
Factors of 181
List of positive integer factors of 181 that divides 181 without a remainder.
1,181
Factors of 517
List of positive integer factors of 517 that divides 517 without a remainder.
1,11,47,517
Greatest Common Factor
We found the factors 103,181,517 . The biggest common factor number is the GCF number.
So the greatest common factor 103,181,517 is 1.
Lets's calculate LCM of 66,81,394
2 | 66, 81, 394 |
3 | 33, 81, 197 |
11, 27, 197 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 27 x 197 = 351054
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/351054
Therefore, the GCF of Fractions 103/66,181/81,517/394 is 1/351054
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 66,81,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,81,394) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(66,81,394) x common factors =1 x 6 = 6
LCM(66,81,394) = ( 66 × 81 × 394 ) / 6
LCM(66,81,394) = 2106324 / 6
LCM(66,81,394) = 351054
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 103/66, 181/81, 517/394?
Answer: GCF of Numerators as per given numbers 103/66, 181/81, 517/394 is
GCF of Numerators i.e. for 103,181,517 is 1
LCM of denominators i.e. for 66,81,394 is 351054.
Thus, GCF of Fractions is 1/351054.Finally, GCF of Fractions for 103/66, 181/81, 517/394 is 1/351054.