$$\text { For all natural numbers a and } b , \operatorname { GCD } ( a , b ) \mid a b \text {. }$$

Name: \[\text { For all natural numbers a and } b , \operatorname { GCD } ( a , b ) \mid a b \text {. }\]
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Question

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The greatest common divisor (GCD) of two numbers $a$ and $b$ divides both $a$ and $b$, and therefore, by definition, must also divide any linear combination of $a$ and $b$, including their product $ab$.

For all natural numbers a and b,GCD⁡(a,b)∣ab. \text { For all natural numbers a and } b , \operatorname { GCD } ( a , b ) \mid a b \text {. } For all natural numbers a and b,GCD(a,b)∣ab.

$\text { For all natural numbers a and } b , \operatorname { GCD } ( a , b ) \mid a b \text {. }$