Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 446/5440,736/3929
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 446,736
Greatest Common Factor of Numerators i.e. GCF of 446,736 is 2 .
LCM of Denominators means LCM of 5440,3929 as per the given fractions.
LCM of 5440,3929 is 21373760 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 446,736
2 | 446, 736 |
223, 368 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 446
List of positive integer factors of 446 that divides 446 without a remainder.
1,2,223,446
Factors of 736
List of positive integer factors of 736 that divides 736 without a remainder.
1,2,4,8,16,23,32,46,92,184,368,736
Greatest Common Factor
We found the factors 446,736 . The biggest common factor number is the GCF number.
So the greatest common factor 446,736 is 2.
Lets's calculate LCM of 5440,3929
Given numbers has no common factors except 1. So, there LCM is their product i.e 21373760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21373760
Therefore, the GCF of Fractions 446/5440,736/3929 is 2/21373760
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 5440,3929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5440,3929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5440,3929) x common factors =1 x 1 = 1
LCM(5440,3929) = ( 5440 × 3929 ) / 1
LCM(5440,3929) = 21373760 / 1
LCM(5440,3929) = 21373760
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 446/5440, 736/3929?
Answer: GCF of Numerators as per given numbers 446/5440, 736/3929 is
GCF of Numerators i.e. for 446,736 is 2
LCM of denominators i.e. for 5440,3929 is 21373760.
Thus, GCF of Fractions is 2/21373760.Finally, GCF of Fractions for 446/5440, 736/3929 is 2/21373760.