Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 244/90,909/50,448/595
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 244,909,448
Greatest Common Factor of Numerators i.e. GCF of 244,909,448 is 1 .
LCM of Denominators means LCM of 90,50,595 as per the given fractions.
LCM of 90,50,595 is 53550 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 244,909,448
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Factors of 909
List of positive integer factors of 909 that divides 909 without a remainder.
1,3,9,101,303,909
Factors of 448
List of positive integer factors of 448 that divides 448 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,224,448
Greatest Common Factor
We found the factors 244,909,448 . The biggest common factor number is the GCF number.
So the greatest common factor 244,909,448 is 1.
Lets's calculate LCM of 90,50,595
2 | 90, 50, 595 |
5 | 45, 25, 595 |
9, 5, 119 |
∴ So the LCM of the given numbers is 2 x 5 x 9 x 5 x 119 = 53550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53550
Therefore, the GCF of Fractions 244/90,909/50,448/595 is 1/53550
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 90,50,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,50,595) = 5
common factors(in case of two or more numbers have common factors) = 10
GCF(90,50,595) x common factors =5 x 10 = 50
LCM(90,50,595) = ( 90 × 50 × 595 ) / 50
LCM(90,50,595) = 2677500 / 50
LCM(90,50,595) = 53550
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 244/90, 909/50, 448/595?
Answer: GCF of Numerators as per given numbers 244/90, 909/50, 448/595 is
GCF of Numerators i.e. for 244,909,448 is 1
LCM of denominators i.e. for 90,50,595 is 53550.
Thus, GCF of Fractions is 1/53550.Finally, GCF of Fractions for 244/90, 909/50, 448/595 is 1/53550.