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MATH / The greatest common divisor of two positive integers less than 100 is equal to 3. Their least common multiple is twelve times one of the integers. What is the largest possible sum …

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problem

The greatest common divisor of two positive integers less than 100100 is equal to 33. Their least common multiple is twelve times one of the integers. What is the largest possible sum of the two integers?
Plain-text mathematical notation (without MathML)
The greatest common divisor of two positive integers less than 100 is equal to 3. Their least common multiple is twelve times one of the integers. What is the largest possible sum of the two integers?
Original LaTeX notation
The greatest common divisor of two positive integers less than $100$ is equal to $3$. Their least common multiple is twelve times one of the integers. What is the largest possible sum of the two integers?

level

Level 5

type

Number Theory

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Source and history

task_id
b3961e73-7574-51a8-8da3-709bd5e56a4f
task_key
number~5ftheory--test--b3961e73-7574-51a8-8da3-709bd5e56a4f
task_revision_id
1
config / split
number_theory / test

Official source

initial import