Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 27/83,80/87,879/20
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 27,80,879
Greatest Common Factor of Numerators i.e. GCF of 27,80,879 is 1 .
LCM of Denominators means LCM of 83,87,20 as per the given fractions.
LCM of 83,87,20 is 144420 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 27,80,879
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 879
List of positive integer factors of 879 that divides 879 without a remainder.
1,3,293,879
Greatest Common Factor
We found the factors 27,80,879 . The biggest common factor number is the GCF number.
So the greatest common factor 27,80,879 is 1.
Lets's calculate LCM of 83,87,20
Given numbers has no common factors except 1. So, there LCM is their product i.e 144420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144420
Therefore, the GCF of Fractions 27/83,80/87,879/20 is 1/144420
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 83,87,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,87,20) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,87,20) x common factors =1 x 1 = 1
LCM(83,87,20) = ( 83 × 87 × 20 ) / 1
LCM(83,87,20) = 144420 / 1
LCM(83,87,20) = 144420
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 27/83, 80/87, 879/20?
Answer: GCF of Numerators as per given numbers 27/83, 80/87, 879/20 is
GCF of Numerators i.e. for 27,80,879 is 1
LCM of denominators i.e. for 83,87,20 is 144420.
Thus, GCF of Fractions is 1/144420.Finally, GCF of Fractions for 27/83, 80/87, 879/20 is 1/144420.