# Two gears

A large gear will be used to turn a smaller gear. The large gear will make 75 revolutions per minute. The smaller gear must make 384 revolutions per minute. Find the smallest number of teeth each gear could have. [Hint: Use either GCF or LCM. ]

### Correct answer:

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#### You need to know the following knowledge to solve this word math problem:

**algebra**- prime numbers
- least common multiple (LCM)
- greatest common divisor (GCD)
**planimetrics**- circle
**basic functions**- ratio
**numbers**- fractions

#### Units of physical quantities:

#### Themes, topics:

#### Grade of the word problem:

We encourage you to watch this tutorial video on this math problem: video1

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