Two gears

The gearbox will use a large gear to turn a smaller gear. The large gear will make 75 revolutions per minute, while 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:

a =  128
b =  25

Step-by-step explanation:

s1=s2 75a = 384b  75=352 384=273 GCD(75,384)=3  k=GCD(75,384)=3  a=384/k=384/3=128
b=75/k=75/3=25



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