It is known that the greatest common divisor of 12 times the number A and 15 times the number B is 1440, so what is the greatest common divisor of the number A and the number B?
已知甲数的12倍与乙数的15倍的最大公约数是1440，那么甲数和乙数的最大公约数是多少．
<gadget id="calculator">1_440 / 3</gadget>
<output>480</output>

<result>480</result>