Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8886/529,2615/416
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 8886,2615
Greatest Common Factor of Numerators i.e. GCF of 8886,2615 is 1 .
LCM of Denominators means LCM of 529,416 as per the given fractions.
LCM of 529,416 is 220064 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8886,2615
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8886
List of positive integer factors of 8886 that divides 8886 without a remainder.
1,2,3,6,1481,2962,4443,8886
Factors of 2615
List of positive integer factors of 2615 that divides 2615 without a remainder.
1,5,523,2615
Greatest Common Factor
We found the factors 8886,2615 . The biggest common factor number is the GCF number.
So the greatest common factor 8886,2615 is 1.
Lets's calculate LCM of 529,416
Given numbers has no common factors except 1. So, there LCM is their product i.e 220064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/220064
Therefore, the GCF of Fractions 8886/529,2615/416 is 1/220064
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 529,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,416) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(529,416) x common factors =1 x 1 = 1
LCM(529,416) = ( 529 × 416 ) / 1
LCM(529,416) = 220064 / 1
LCM(529,416) = 220064
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 8886/529, 2615/416?
Answer: GCF of Numerators as per given numbers 8886/529, 2615/416 is
GCF of Numerators i.e. for 8886,2615 is 1
LCM of denominators i.e. for 529,416 is 220064.
Thus, GCF of Fractions is 1/220064.Finally, GCF of Fractions for 8886/529, 2615/416 is 1/220064.