Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2819/122,1495/5333
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 2819,1495
Greatest Common Factor of Numerators i.e. GCF of 2819,1495 is 1 .
LCM of Denominators means LCM of 122,5333 as per the given fractions.
LCM of 122,5333 is 650626 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2819,1495
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2819
List of positive integer factors of 2819 that divides 2819 without a remainder.
1,2819
Factors of 1495
List of positive integer factors of 1495 that divides 1495 without a remainder.
1,5,13,23,65,115,299,1495
Greatest Common Factor
We found the factors 2819,1495 . The biggest common factor number is the GCF number.
So the greatest common factor 2819,1495 is 1.
Lets's calculate LCM of 122,5333
Given numbers has no common factors except 1. So, there LCM is their product i.e 650626
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/650626
Therefore, the GCF of Fractions 2819/122,1495/5333 is 1/650626
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 122,5333 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,5333) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(122,5333) x common factors =1 x 1 = 1
LCM(122,5333) = ( 122 × 5333 ) / 1
LCM(122,5333) = 650626 / 1
LCM(122,5333) = 650626
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 2819/122, 1495/5333?
Answer: GCF of Numerators as per given numbers 2819/122, 1495/5333 is
GCF of Numerators i.e. for 2819,1495 is 1
LCM of denominators i.e. for 122,5333 is 650626.
Thus, GCF of Fractions is 1/650626.Finally, GCF of Fractions for 2819/122, 1495/5333 is 1/650626.