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Understanding GCF

Basic Concepts

  • Largest factor of all numbers
  • Always positive
  • Related to LCM
  • GCF(a,b) × LCM(a,b) = |a × b|

Methods

  • Listing factors
  • Prime factorization
  • Euclidean algorithm
  • Division method

Applications

  • Reducing fractions
  • Factoring expressions
  • Problem solving
  • Cryptography