The easiest and most efficient is by prime factorization.
Example: 30 and 42
Factor them.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Select the common factors.
2 x 3 = 6, the GCF
Since 180 is a factor of 540, it is automatically the GCF.
The greatest common factor of 49 and 77 is 7, no matter what method you useto find it.If you solve the same problem twice, using two different methods, and get twodifferent answers, then at least one of the answers is wrong, and there's a goodchance that they both are.
Some expressions can't be factorised, and you have to use other methods to solve the equation.
You need at least two numbers to find a GCF. IF that's 3, 4 and 5, the GCF of consecutive nonzero integers is 1.
GCF(437,1247) using Euclidean algorithm
experiment
Different math questions require different methods to solve.
72,48
Inflation
scientific
The Runge-Kutta method is one of several numerical methods of solving differential equations. Some systems motion or process may be governed by differential equations which are difficult to impossible to solve with emperical methods. This is where numerical methods allow us to predict the motion, without having to solve the actual equation.
Example: 30 and 42Factor them.2 x 3 x 5 = 302 x 3 x 7 = 42Select the common factors.2 x 3 = 6, the GCForList the factors.1, 2, 3, 5, 6, 10, 15, 301, 2, 3, 6, 7, 14, 21, 42