Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 409/119,860/291
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 409,860
Greatest Common Factor of Numerators i.e. GCF of 409,860 is 1 .
LCM of Denominators means LCM of 119,291 as per the given fractions.
LCM of 119,291 is 34629 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 409,860
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 409
List of positive integer factors of 409 that divides 409 without a remainder.
1,409
Factors of 860
List of positive integer factors of 860 that divides 860 without a remainder.
1,2,4,5,10,20,43,86,172,215,430,860
Greatest Common Factor
We found the factors 409,860 . The biggest common factor number is the GCF number.
So the greatest common factor 409,860 is 1.
Lets's calculate LCM of 119,291
Given numbers has no common factors except 1. So, there LCM is their product i.e 34629
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34629
Therefore, the GCF of Fractions 409/119,860/291 is 1/34629
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 119,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(119,291) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(119,291) x common factors =1 x 1 = 1
LCM(119,291) = ( 119 × 291 ) / 1
LCM(119,291) = 34629 / 1
LCM(119,291) = 34629
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 409/119, 860/291?
Answer: GCF of Numerators as per given numbers 409/119, 860/291 is
GCF of Numerators i.e. for 409,860 is 1
LCM of denominators i.e. for 119,291 is 34629.
Thus, GCF of Fractions is 1/34629.Finally, GCF of Fractions for 409/119, 860/291 is 1/34629.