Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 300/72,388/87,193/107
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 300,388,193
Greatest Common Factor of Numerators i.e. GCF of 300,388,193 is 1 .
LCM of Denominators means LCM of 72,87,107 as per the given fractions.
LCM of 72,87,107 is 223416 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 300,388,193
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 300
List of positive integer factors of 300 that divides 300 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Factors of 388
List of positive integer factors of 388 that divides 388 without a remainder.
1,2,4,97,194,388
Factors of 193
List of positive integer factors of 193 that divides 193 without a remainder.
1,193
Greatest Common Factor
We found the factors 300,388,193 . The biggest common factor number is the GCF number.
So the greatest common factor 300,388,193 is 1.
Lets's calculate LCM of 72,87,107
3 | 72, 87, 107 |
24, 29, 107 |
∴ So the LCM of the given numbers is 3 x 24 x 29 x 107 = 223416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/223416
Therefore, the GCF of Fractions 300/72,388/87,193/107 is 1/223416
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 72,87,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,87,107) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(72,87,107) x common factors =1 x 3 = 3
LCM(72,87,107) = ( 72 × 87 × 107 ) / 3
LCM(72,87,107) = 670248 / 3
LCM(72,87,107) = 223416
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 300/72, 388/87, 193/107?
Answer: GCF of Numerators as per given numbers 300/72, 388/87, 193/107 is
GCF of Numerators i.e. for 300,388,193 is 1
LCM of denominators i.e. for 72,87,107 is 223416.
Thus, GCF of Fractions is 1/223416.Finally, GCF of Fractions for 300/72, 388/87, 193/107 is 1/223416.