Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 86/25,879/64,586/977
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 86,879,586
Greatest Common Factor of Numerators i.e. GCF of 86,879,586 is 1 .
LCM of Denominators means LCM of 25,64,977 as per the given fractions.
LCM of 25,64,977 is 1563200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 86,879,586
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 879
List of positive integer factors of 879 that divides 879 without a remainder.
1,3,293,879
Factors of 586
List of positive integer factors of 586 that divides 586 without a remainder.
1,2,293,586
Greatest Common Factor
We found the factors 86,879,586 . The biggest common factor number is the GCF number.
So the greatest common factor 86,879,586 is 1.
Lets's calculate LCM of 25,64,977
Given numbers has no common factors except 1. So, there LCM is their product i.e 1563200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1563200
Therefore, the GCF of Fractions 86/25,879/64,586/977 is 1/1563200
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 25,64,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,64,977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,64,977) x common factors =1 x 1 = 1
LCM(25,64,977) = ( 25 × 64 × 977 ) / 1
LCM(25,64,977) = 1563200 / 1
LCM(25,64,977) = 1563200
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 86/25, 879/64, 586/977?
Answer: GCF of Numerators as per given numbers 86/25, 879/64, 586/977 is
GCF of Numerators i.e. for 86,879,586 is 1
LCM of denominators i.e. for 25,64,977 is 1563200.
Thus, GCF of Fractions is 1/1563200.Finally, GCF of Fractions for 86/25, 879/64, 586/977 is 1/1563200.