Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 900/16,315/27,788/667
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 900,315,788
Greatest Common Factor of Numerators i.e. GCF of 900,315,788 is 1 .
LCM of Denominators means LCM of 16,27,667 as per the given fractions.
LCM of 16,27,667 is 288144 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 900,315,788
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 900
List of positive integer factors of 900 that divides 900 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Factors of 315
List of positive integer factors of 315 that divides 315 without a remainder.
1,3,5,7,9,15,21,35,45,63,105,315
Factors of 788
List of positive integer factors of 788 that divides 788 without a remainder.
1,2,4,197,394,788
Greatest Common Factor
We found the factors 900,315,788 . The biggest common factor number is the GCF number.
So the greatest common factor 900,315,788 is 1.
Lets's calculate LCM of 16,27,667
Given numbers has no common factors except 1. So, there LCM is their product i.e 288144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/288144
Therefore, the GCF of Fractions 900/16,315/27,788/667 is 1/288144
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 16,27,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,27,667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,27,667) x common factors =1 x 1 = 1
LCM(16,27,667) = ( 16 × 27 × 667 ) / 1
LCM(16,27,667) = 288144 / 1
LCM(16,27,667) = 288144
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 900/16, 315/27, 788/667?
Answer: GCF of Numerators as per given numbers 900/16, 315/27, 788/667 is
GCF of Numerators i.e. for 900,315,788 is 1
LCM of denominators i.e. for 16,27,667 is 288144.
Thus, GCF of Fractions is 1/288144.Finally, GCF of Fractions for 900/16, 315/27, 788/667 is 1/288144.