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๐Ÿ“ฐ Solution: Use the identity $\gcd(2^a - 1, 2^b - 1) = 2^{\gcd(a, b)} - 1$. Compute $\gcd(12, 18) = 6$. Thus, $\gcd(2^{12} - 1, 2^{18} - 1) = 2^6 - 1 = 64 - 1 = \boxed{63}$. ๐Ÿ“ฐ Question: What is the smallest three-digit number divisible by 11 and 13? ๐Ÿ“ฐ Solution: The LCM of 11 and 13 is $143$. The smallest three-digit multiple of 143 is $143 \times 1 = 143$ (since $143 \times 2 = 286$ is also three-digit, but 143 is smaller). Thus, the answer is $\boxed{143}$.Question: Two marine biologists, Dr. Coral and Dr. Tide, arrive at a research station at random times between 7:00 and 8:00. If Dr. Coral arrives after Dr. Tide, what is the probability that Dr. Tide arrived before 7:45? ๐Ÿ“ฐ Loteria De Florida 2320889 ๐Ÿ“ฐ Presenter View Powerpoint 4536421 ๐Ÿ“ฐ Is This The Future Of Toons The Robotic Spongebob Youve Been Searching For 2708174 ๐Ÿ“ฐ Cast Of Mind Your Business Television Show 4046138 ๐Ÿ“ฐ You Wont Believe The Hidden Level In Fevers Next Gameplay Now 4412234 ๐Ÿ“ฐ How To Password Protect A Folder 1861880 ๐Ÿ“ฐ This Saleen S7 Shocked The Worldeveryones Craving One Now 1490543 ๐Ÿ“ฐ How The Belmont Family Tree Unlocked A Decades Long Family Mystery 1747402 ๐Ÿ“ฐ Stream Anything Anywherethis Is How Moviesanywhere Revolutionizes Entertainment 6550920 ๐Ÿ“ฐ Try X 099 Y 0005 Z 0005 633768 ๐Ÿ“ฐ Bepc Stock Price Soarsyou Wont Believe How Its Spiking Tonight 8809191 ๐Ÿ“ฐ A With An Accent 4375369 ๐Ÿ“ฐ 5Chans Hidden World The Shocking Stories Youre Not Supposed To Know 5114323 ๐Ÿ“ฐ Morbid Metal 1169339 ๐Ÿ“ฐ Unlock The Secret The Shocking 529 Plan Limit Everyone Should Know 4011708