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GCD & LCM

Section: Number PropertiesBank code: NUM-GCLGRE frequency: HighPro

1. Core Idea

  • GCD (Greatest Common Divisor / HCF): the largest number that divides both. It is about splitting into equal groups.
  • LCM (Least Common Multiple): the smallest number that both divide. It is about events lining up again.

The word-problem tell: "largest possible size / greatest number of identical pieces" -> GCD. "When will they next coincide / smallest quantity that works for both" -> LCM.


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