Some Thermochemistry

Find ΔS and ΔG for the conversion of 10.0g of supercooled water at -10° C and 1 atm to ice at -10° C and 1 atm. Average cp values for ice and supercooled water in the range 0° C and -10° C are 0.50 and 1.01 cal/(°C g) respectively. Given that the latent heat of fusion of ice is 79.7 cal/g at the normal boiling point.
GCD-LCM problems are always fun. The solution is simple, yet it takes a long time to get there.

Here is one for you. Do not Google it because you'll obviously find the solution there.

How many unordered pairs of numbers (a,b) are there such that their GCD is 100 and their LCM is 137062800?

Noobs may try this also:
How many unordered pairs of numbers (a,b) are there such that their LCM is 137062800?