# Petals — GCD & LCM Puzzle | Mathallery

Source: https://mathallery.com/games/petals/

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# Petals

GCD & LCM · 30 levels

Pick the gears that draw the target rosette.

## How to play

- Pick a wheel (and on later levels a ring), then tap Draw. The wheel rolls round inside the ring and its pen draws a rosette.
- Find the gcd, the biggest number dividing both tooth counts. Petals = ring ÷ gcd; loops (trips round before the line closes) = wheel ÷ gcd.
- Draw exactly the target: the right number of petals, and of loops when the target shows them.

Ring 36 and wheel 16 share 4 (gcd 4): 36 ÷ 4 = 9 petals, 16 ÷ 4 = 4 loops. Ring 18 with wheel 8 draws the very same rosette.

[Open Petals](https://mathallery.com/#/play/petals/1)

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