# What is the minimum number of rotations Gear 1 requires to return to this starting position?

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Two gears are shown below in their starting position.

Gear 1 has 6 teeth

Gear 2 has 8 teeth

As Gear 1 turns, it cause Gear 2 to turn at a different rate

Gear 1 is rotated until the two gears are back to this starting position??

What is the minimum number of rotations Gear 1 requires to return to this starting position?

A. 48 rotations

B. 24 rotations

C. 4 rotations

D. 2 rotations

I know the answer is C, but I chose D and I do not get how to get that number...

Thanks

Two gears are shown below in their starting position.

Gear 1 has 6 teeth

Gear 2 has 8 teeth

As Gear 1 turns, it cause Gear 2 to turn at a different rate

Gear 1 is rotated until the two gears are back to this starting position??

What is the minimum number of rotations Gear 1 requires to return to this starting position?

A. 48 rotations

B. 24 rotations

C. 4 rotations

D. 2 rotations

I know the answer is C, but I chose D and I do not get how to get that number...

Thanks

##### 1 Answer

We can figure this out by finding the LCF.

#### Explanation:

gear 1 will be

gear 2 will be

.

- gear 1 turn rotations.

gear 1 moves in a rotation of 6

- gear 2 turn rotations

gear 2 moves in a rotation of 8

factors that make up

we can remove