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MATH / How many integers m are there such that 0<m<100 and gcd(m,100) is a single-digit number?

Problem

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problem

How many integers mm are there such that 0<m<1000<m<100 and gcd(m,100)\gcd(m,100) is a single-digit number?
Plain-text mathematical notation (without MathML)
How many integers m are there such that 0<m<100 and gcd(m,100) is a single-digit number?
Original LaTeX notation
How many integers $m$ are there such that $0<m<100$ and $\gcd(m,100)$ is a single-digit number?

level

Level 5

type

Number Theory

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Official source

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