Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 788/3316,606/5440
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 788,606
Greatest Common Factor of Numerators i.e. GCF of 788,606 is 2 .
LCM of Denominators means LCM of 3316,5440 as per the given fractions.
LCM of 3316,5440 is 4509760 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 788,606
2 | 788, 606 |
394, 303 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 788
List of positive integer factors of 788 that divides 788 without a remainder.
1,2,4,197,394,788
Factors of 606
List of positive integer factors of 606 that divides 606 without a remainder.
1,2,3,6,101,202,303,606
Greatest Common Factor
We found the factors 788,606 . The biggest common factor number is the GCF number.
So the greatest common factor 788,606 is 2.
Lets's calculate LCM of 3316,5440
2 | 3316, 5440 |
2 | 1658, 2720 |
829, 1360 |
∴ So the LCM of the given numbers is 2 x 2 x 829 x 1360 = 4509760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4509760
Therefore, the GCF of Fractions 788/3316,606/5440 is 2/4509760
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 3316,5440 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3316,5440) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(3316,5440) x common factors =4 x 1 = 4
LCM(3316,5440) = ( 3316 × 5440 ) / 4
LCM(3316,5440) = 18039040 / 4
LCM(3316,5440) = 4509760
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 788/3316, 606/5440?
Answer: GCF of Numerators as per given numbers 788/3316, 606/5440 is
GCF of Numerators i.e. for 788,606 is 2
LCM of denominators i.e. for 3316,5440 is 4509760.
Thus, GCF of Fractions is 2/4509760.Finally, GCF of Fractions for 788/3316, 606/5440 is 2/4509760.