Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3641/39,2417/483
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 3641,2417
Greatest Common Factor of Numerators i.e. GCF of 3641,2417 is 1 .
LCM of Denominators means LCM of 39,483 as per the given fractions.
LCM of 39,483 is 6279 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3641,2417
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3641
List of positive integer factors of 3641 that divides 3641 without a remainder.
1,11,331,3641
Factors of 2417
List of positive integer factors of 2417 that divides 2417 without a remainder.
1,2417
Greatest Common Factor
We found the factors 3641,2417 . The biggest common factor number is the GCF number.
So the greatest common factor 3641,2417 is 1.
Lets's calculate LCM of 39,483
3 | 39, 483 |
13, 161 |
∴ So the LCM of the given numbers is 3 x 13 x 161 = 6279
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6279
Therefore, the GCF of Fractions 3641/39,2417/483 is 1/6279
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 39,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,483) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(39,483) x common factors =3 x 1 = 3
LCM(39,483) = ( 39 × 483 ) / 3
LCM(39,483) = 18837 / 3
LCM(39,483) = 6279
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 3641/39, 2417/483?
Answer: GCF of Numerators as per given numbers 3641/39, 2417/483 is
GCF of Numerators i.e. for 3641,2417 is 1
LCM of denominators i.e. for 39,483 is 6279.
Thus, GCF of Fractions is 1/6279.Finally, GCF of Fractions for 3641/39, 2417/483 is 1/6279.