Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 383/15,818/69,615/188
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 383,818,615
Greatest Common Factor of Numerators i.e. GCF of 383,818,615 is 1 .
LCM of Denominators means LCM of 15,69,188 as per the given fractions.
LCM of 15,69,188 is 64860 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 383,818,615
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 383
List of positive integer factors of 383 that divides 383 without a remainder.
1,383
Factors of 818
List of positive integer factors of 818 that divides 818 without a remainder.
1,2,409,818
Factors of 615
List of positive integer factors of 615 that divides 615 without a remainder.
1,3,5,15,41,123,205,615
Greatest Common Factor
We found the factors 383,818,615 . The biggest common factor number is the GCF number.
So the greatest common factor 383,818,615 is 1.
Lets's calculate LCM of 15,69,188
3 | 15, 69, 188 |
5, 23, 188 |
∴ So the LCM of the given numbers is 3 x 5 x 23 x 188 = 64860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64860
Therefore, the GCF of Fractions 383/15,818/69,615/188 is 1/64860
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 15,69,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,69,188) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(15,69,188) x common factors =1 x 3 = 3
LCM(15,69,188) = ( 15 × 69 × 188 ) / 3
LCM(15,69,188) = 194580 / 3
LCM(15,69,188) = 64860
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 383/15, 818/69, 615/188?
Answer: GCF of Numerators as per given numbers 383/15, 818/69, 615/188 is
GCF of Numerators i.e. for 383,818,615 is 1
LCM of denominators i.e. for 15,69,188 is 64860.
Thus, GCF of Fractions is 1/64860.Finally, GCF of Fractions for 383/15, 818/69, 615/188 is 1/64860.