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:

Tips for related online calculators
Do you want to calculate the least common multiple of two or more numbers?
Do you want to calculate the greatest common divisor of two or more numbers?
Need help calculating sum, simplifying, or multiplying fractions? Try our fraction calculator.
Check out our ratio calculator.
Do you want to convert velocity (speed) units?
Do you want to calculate the greatest common divisor of two or more numbers?
Need help calculating sum, simplifying, or multiplying fractions? Try our fraction calculator.
Check out our ratio calculator.
Do you want to convert velocity (speed) units?
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
Related math problems and questions:
- Gear wheels
Two gear wheels, which fit together, have the number of teeth z1=117 and z2=70. Calculate the speed of the first wheel if the second wheel rotates 582 revolutions per minute.
- Two gears
The two gears fit together. The larger gear has 32 teeth. The smaller gear has 20 teeth fewer. How many times does turn a smaller gear if the bigger gear turns three times?
- Eggs in basket
If the eggs in a basket are removed twice at a time, one will remain. Two eggs will remain if the eggs are removed three at a time. If the eggs are removed four, five, or six at a time, the three, four, and five eggs will remain, respectively. However, no
- Gearing
Gearing consists of two wheels. One is 88, and the second is 56 teeth. How many times turn the smaller wheel to hit the same teeth as in the beginning? How many times will we turn the biggest wheel?
- Determine 82852
The fan club has 275 members. Some members went to the match by train. Determine how many members rode when they could fill the wagons with either 60 or 80 seats.
- Tailor
From the rest of the cloth, the tailor could cut off either 3 m in men's suits without a vest or 3.6 m with the vest. What shortest possible length could the rest of the cloth have? How many suits a) without a vest b) With a vest, could you make the tailo
- Bicycle gear
The pedal bicycle wheel has 56 teeth and a rear 20-gear tooth. How many times does the bicycle wheel turn when you make 20 turns of the pedal wheel?