Real life GCD & LCM

Quiz

Real life gcd & lcm

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1/5

Albert is observing pulsars, a type of star which emits a beam of radiation at regular intervals. He sees two pulsars ‘flash’ together and notices that one pulsar flashes every 4 seconds and the other every 7 seconds. How long will he wait before they flash together again?

14 seconds

56 seconds

28 seconds

1/5

LCM (4,7) = 28 seconds

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2/5

Boris is baking cupcakes for two parties. He has to bake 225 cupcakes for one party and 165 for the other. He needs to buy some new presentation cases for the cupcakes, it is important that these cases fit as many cupcakes in as possible but there can’t be any empty spaces in any of the presentation cases. How many cupcakes should each presentation case hold?

25

55

15

2/5

GCD(225, 165) = 3 · 5 = 15 225 = 32 · 52 165 = 3 · 5 · 11

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3/5

Charlie is training for his next Channel swim. He has to visit her doctor every 14 days and his nutritionalist every 10 days for regular check ups. If on the 10th May he had both appointments, what will the next date be when both appointments fall on the same day?

70 days

20 days

140 days

3/5

LCM (14, 10) = 70 days so 19th July

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4/5

Derek advises a patient to have a scale every 4 months and a polish every 6 months. If they have a scale and polish today, how long will they wait before they can have both during the same appointment?

4 months

6 months

12 months

4/5

LCM (4 , 6) = 12 months

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5/5

Mike has an order for 64 ball bearings for a car company and 352 for a toy company. His has to program his machine to pack the balls in equal batches, but wants to process the orders as fast as possible. What is the largest batch size you use to pack both orders in one go?

52

32

42

5/5

GCD (64 , 352) = 32

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