Hello!

If we could split boys and girls into n teams, and b boys and g girls will be in each team, then obviously `nb=48` and `ng=60.` Therefore `n` divides 48 and `n` divides 60, or the same may be formulated as "`n` is a common divisor of 48 and 60". And the greatest such number is the *greatest common divisor* (GCD) of 48 and 60.

One way to find it is to factor 48 and 60 into prime factors:

`48=6*8=3*2^4,`

`60=6*10=5*3*2^2.`

There are common prime divisors `3` and `2^2,` GCD is their product which is `12.`

So the answer is: **12 commands** is the maximum. Each of them will consist of 48/12=**4 boys** and 60/12=**5 girls**.

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