Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4350/16,8513/879
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 4350,8513
Greatest Common Factor of Numerators i.e. GCF of 4350,8513 is 1 .
LCM of Denominators means LCM of 16,879 as per the given fractions.
LCM of 16,879 is 14064 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4350,8513
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4350
List of positive integer factors of 4350 that divides 4350 without a remainder.
1,2,3,5,6,10,15,25,29,30,50,58,75,87,145,150,174,290,435,725,870,1450,2175,4350
Factors of 8513
List of positive integer factors of 8513 that divides 8513 without a remainder.
1,8513
Greatest Common Factor
We found the factors 4350,8513 . The biggest common factor number is the GCF number.
So the greatest common factor 4350,8513 is 1.
Lets's calculate LCM of 16,879
Given numbers has no common factors except 1. So, there LCM is their product i.e 14064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14064
Therefore, the GCF of Fractions 4350/16,8513/879 is 1/14064
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 16,879 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,879) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,879) x common factors =1 x 1 = 1
LCM(16,879) = ( 16 × 879 ) / 1
LCM(16,879) = 14064 / 1
LCM(16,879) = 14064
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 4350/16, 8513/879?
Answer: GCF of Numerators as per given numbers 4350/16, 8513/879 is
GCF of Numerators i.e. for 4350,8513 is 1
LCM of denominators i.e. for 16,879 is 14064.
Thus, GCF of Fractions is 1/14064.Finally, GCF of Fractions for 4350/16, 8513/879 is 1/14064.