Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 784/270,5330/8555
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 784,5330
Greatest Common Factor of Numerators i.e. GCF of 784,5330 is 2 .
LCM of Denominators means LCM of 270,8555 as per the given fractions.
LCM of 270,8555 is 461970 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 784,5330
2 | 784, 5330 |
392, 2665 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 784
List of positive integer factors of 784 that divides 784 without a remainder.
1,2,4,7,8,14,16,28,49,56,98,112,196,392,784
Factors of 5330
List of positive integer factors of 5330 that divides 5330 without a remainder.
1,2,5,10,13,26,41,65,82,130,205,410,533,1066,2665,5330
Greatest Common Factor
We found the factors 784,5330 . The biggest common factor number is the GCF number.
So the greatest common factor 784,5330 is 2.
Lets's calculate LCM of 270,8555
5 | 270, 8555 |
54, 1711 |
∴ So the LCM of the given numbers is 5 x 54 x 1711 = 461970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/461970
Therefore, the GCF of Fractions 784/270,5330/8555 is 2/461970
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 270,8555 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,8555) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(270,8555) x common factors =5 x 1 = 5
LCM(270,8555) = ( 270 × 8555 ) / 5
LCM(270,8555) = 2309850 / 5
LCM(270,8555) = 461970
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 784/270, 5330/8555?
Answer: GCF of Numerators as per given numbers 784/270, 5330/8555 is
GCF of Numerators i.e. for 784,5330 is 2
LCM of denominators i.e. for 270,8555 is 461970.
Thus, GCF of Fractions is 2/461970.Finally, GCF of Fractions for 784/270, 5330/8555 is 2/461970.