Tissues

The store got three kinds of tissues - 132 children, 156 women and 204 men. Tissues each species were packed into boxes after the number of pieces the same for all three types (and greatest). Determine the number, if you know that every box has more than 6 tissues.

Result

x =  12

Solution:

132=22311 156=22313 204=22317 GCD(132,156,204)=223=12 x=12132 = 2^2 \cdot 3 \cdot 11 \ \\ 156 = 2^2 \cdot 3 \cdot 13 \ \\ 204 = 2^2 \cdot 3 \cdot 17 \ \\ \text{GCD}(132, 156, 204) = 2^2 \cdot 3 = 12 \ \\ x = 12



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