AMC / AIME · Divisibility · Medium

Divisibility: Find the digit math such that math is divisible by math.

Factors and gcd/lcm.

Try the problem

Find the digit xx such that 7x327x32 is divisible by 99.

Hint and answer

Concept to use

gcd/lcm.

Hint

Use lcm/gcd and count multiples carefully.

Answer

6

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