Greatest Common Divisor and Least Common Multiple
This section delves into advanced concepts of finding common factors and multiples, essential for understanding Największy wspólny dzielnik algorytm.
Definition: The Greatest Common Divisor GCD is the largest number that divides two or more numbers without a remainder.
Example: To find Największy wspólny dzielnik of numbers:
- Break down numbers into prime factors
- Multiply common prime factors
- The result is the GCD
Highlight: Prime numbers 2,3,5,7,11,13,17 play a crucial role in finding GCD and LCM.
Example: For finding LCM:
- Multiply the number on the left by the remaining number on the right after calculating GCD
- This gives the Least Common Multiple
Vocabulary: NWD NajwiększyWspoˊlnyDzielnik and NWW NajmniejszaWspoˊlnaWielokrotnosˊcˊ are Polish terms for GCD and LCM respectively.