Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 744/904,223/796,216/649
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 744,223,216
Greatest Common Factor of Numerators i.e. GCF of 744,223,216 is 1 .
LCM of Denominators means LCM of 904,796,649 as per the given fractions.
LCM of 904,796,649 is 116752504 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 744,223,216
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 744
List of positive integer factors of 744 that divides 744 without a remainder.
1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744
Factors of 223
List of positive integer factors of 223 that divides 223 without a remainder.
1,223
Factors of 216
List of positive integer factors of 216 that divides 216 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Greatest Common Factor
We found the factors 744,223,216 . The biggest common factor number is the GCF number.
So the greatest common factor 744,223,216 is 1.
Lets's calculate LCM of 904,796,649
2 | 904, 796, 649 |
2 | 452, 398, 649 |
226, 199, 649 |
∴ So the LCM of the given numbers is 2 x 2 x 226 x 199 x 649 = 116752504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/116752504
Therefore, the GCF of Fractions 744/904,223/796,216/649 is 1/116752504
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 904,796,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(904,796,649) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(904,796,649) x common factors =1 x 4 = 4
LCM(904,796,649) = ( 904 × 796 × 649 ) / 4
LCM(904,796,649) = 467010016 / 4
LCM(904,796,649) = 116752504
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 744/904, 223/796, 216/649?
Answer: GCF of Numerators as per given numbers 744/904, 223/796, 216/649 is
GCF of Numerators i.e. for 744,223,216 is 1
LCM of denominators i.e. for 904,796,649 is 116752504.
Thus, GCF of Fractions is 1/116752504.Finally, GCF of Fractions for 744/904, 223/796, 216/649 is 1/116752504.