Task 3. How many identical bouquets can be made from 252 roses, 288 lilies, and 972 carnations, and how many flowers in total are there in each bouquet?
Solution. Since $\operatorname{GCD}(252,288,972)=36$, 36 identical bouquets can be made, each containing $252: 36=7$ roses, $288: 36=8$ lilies, and $972: 36=27$ carnations.