MTH212 Foundations of Elementary Math 2

Fun with Fractions.

Notes on Fractions
Winter 2020

Chapter 4: Number Theory

§ 4.2 GCF and LCM

Topics

  • prime factorization
    `36=2^3*3^2`
  • Fundamental Theorem of Arithmetic
  • factor trees
    12 is a multiple of 3.
    factor tree
  • Greatest Common Factor:
    The greatest of all of the factors common to a pair of numbers.
    The greatest common factor of 12 and 8 is 4.
    GCF(12,8) = 4
  • GCD Methods
  • Least Common Multiple:
    The least (smallest) of all of the multiples of a pair of numbers.
    The least common multiple of 12 and 9 is 24.
    LCM(12,8) = 24
  • LCM Methods