Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/371,483/357,413/615
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 94,483,413
Greatest Common Factor of Numerators i.e. GCF of 94,483,413 is 1 .
LCM of Denominators means LCM of 371,357,615 as per the given fractions.
LCM of 371,357,615 is 3878805 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 94,483,413
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 483
List of positive integer factors of 483 that divides 483 without a remainder.
1,3,7,21,23,69,161,483
Factors of 413
List of positive integer factors of 413 that divides 413 without a remainder.
1,7,59,413
Greatest Common Factor
We found the factors 94,483,413 . The biggest common factor number is the GCF number.
So the greatest common factor 94,483,413 is 1.
Lets's calculate LCM of 371,357,615
3 | 371, 357, 615 |
7 | 371, 119, 205 |
53, 17, 205 |
∴ So the LCM of the given numbers is 3 x 7 x 53 x 17 x 205 = 3878805
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3878805
Therefore, the GCF of Fractions 94/371,483/357,413/615 is 1/3878805
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 371,357,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(371,357,615) = 1
common factors(in case of two or more numbers have common factors) = 21
GCF(371,357,615) x common factors =1 x 21 = 21
LCM(371,357,615) = ( 371 × 357 × 615 ) / 21
LCM(371,357,615) = 81454905 / 21
LCM(371,357,615) = 3878805
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 94/371, 483/357, 413/615?
Answer: GCF of Numerators as per given numbers 94/371, 483/357, 413/615 is
GCF of Numerators i.e. for 94,483,413 is 1
LCM of denominators i.e. for 371,357,615 is 3878805.
Thus, GCF of Fractions is 1/3878805.Finally, GCF of Fractions for 94/371, 483/357, 413/615 is 1/3878805.