Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/264,960/571
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 40,960
Greatest Common Factor of Numerators i.e. GCF of 40,960 is 40 .
LCM of Denominators means LCM of 264,571 as per the given fractions.
LCM of 264,571 is 150744 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 40,960
2 | 40, 960 |
2 | 20, 480 |
2 | 10, 240 |
5 | 5, 120 |
1, 24 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 960
List of positive integer factors of 960 that divides 960 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960
Greatest Common Factor
We found the factors 40,960 . The biggest common factor number is the GCF number.
So the greatest common factor 40,960 is 40.
Lets's calculate LCM of 264,571
Given numbers has no common factors except 1. So, there LCM is their product i.e 150744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/150744
Therefore, the GCF of Fractions 40/264,960/571 is 40/150744
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 264,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(264,571) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(264,571) x common factors =1 x 1 = 1
LCM(264,571) = ( 264 × 571 ) / 1
LCM(264,571) = 150744 / 1
LCM(264,571) = 150744
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 40/264, 960/571?
Answer: GCF of Numerators as per given numbers 40/264, 960/571 is
GCF of Numerators i.e. for 40,960 is 40
LCM of denominators i.e. for 264,571 is 150744.
Thus, GCF of Fractions is 40/150744.Finally, GCF of Fractions for 40/264, 960/571 is 40/150744.