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Lesson 7 of 15

Which one does the question want?

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7 min

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Cut ribbons into equal pieces. Or find when two buses leave together. Which one needs the HCF?

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Ask what the number must do.
Step 1 of 3
  1. Ask what the number must do.
  2. Ribbon: go into both 12 and 18 → HCF = 6.
  3. Buses: 12 and 18 must go into it → LCM = 36.

One question, asked of the answer

Cutting the ribbons needs the HCF. The buses need the LCM.

Ask what the answer must do. Does it go into both numbers? You need the HCF. Do both numbers go into it? You need the LCM.

What the answer must do, in four situations
SituationWhat the answer must doWhich one
Cut 12 m and 18 m ribbons into equal piecesGo into 12 and into 18HCF, 6
Buses leave together now, then every 12 and 18 minutesHave 12 and 18 go into itLCM, 36
Put 8 and 15 players in equal rows, teams not mixedGo into 8 and into 15HCF, 1
Lamps blink together now, then every 4 and 6 secondsHave 4 and 6 go into itLCM, 12

Try the lab to finish this lesson.