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GCF and LCM test

Greatest common factor, least common multiple, and the word problems that tell them apart.

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GCF and LCM test
GCF and LCM test — printable test paper

The answer key prints on a separate page.

What's on this test

GCF and LCM are easy to compute and easy to confuse, and the confusion is the thing worth testing. One goes down — the biggest number that divides both — and one goes up: the smallest number both divide into. A child who has learned two procedures without that distinction will produce a confident answer to the wrong question.

How the paper is put together

That is what the word problems are for. Tiling a floor with the largest possible square is a GCF question; two buses leaving at different intervals and meeting again is LCM. Nothing in the wording says which, and choosing correctly is the whole of what the unit taught.

The sections on this paper

  1. Greatest common factor5 questions
  2. Least common multiple5 questions
  3. List the factors5 questions
  4. Word problems4 questions

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