Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 879/37,420/71,215/36
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 879,420,215
Greatest Common Factor of Numerators i.e. GCF of 879,420,215 is 1 .
LCM of Denominators means LCM of 37,71,36 as per the given fractions.
LCM of 37,71,36 is 94572 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 879,420,215
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 879
List of positive integer factors of 879 that divides 879 without a remainder.
1,3,293,879
Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Factors of 215
List of positive integer factors of 215 that divides 215 without a remainder.
1,5,43,215
Greatest Common Factor
We found the factors 879,420,215 . The biggest common factor number is the GCF number.
So the greatest common factor 879,420,215 is 1.
Lets's calculate LCM of 37,71,36
Given numbers has no common factors except 1. So, there LCM is their product i.e 94572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/94572
Therefore, the GCF of Fractions 879/37,420/71,215/36 is 1/94572
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 37,71,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,71,36) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,71,36) x common factors =1 x 1 = 1
LCM(37,71,36) = ( 37 × 71 × 36 ) / 1
LCM(37,71,36) = 94572 / 1
LCM(37,71,36) = 94572
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 879/37, 420/71, 215/36?
Answer: GCF of Numerators as per given numbers 879/37, 420/71, 215/36 is
GCF of Numerators i.e. for 879,420,215 is 1
LCM of denominators i.e. for 37,71,36 is 94572.
Thus, GCF of Fractions is 1/94572.Finally, GCF of Fractions for 879/37, 420/71, 215/36 is 1/94572.