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📰 Solution: Use the identity $\gcd(2^a - 1, 2^b - 1) = 2^{\gcd(a, b)} - 1$. Compute $\gcd(12, 18) = 6$. Thus, $\gcd(2^{12} - 1, 2^{18} - 1) = 2^6 - 1 = 64 - 1 = \boxed{63}$. 📰 Question: What is the smallest three-digit number divisible by 11 and 13? 📰 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? 📰 Intercontinental New Orleans By Ihg 3803863 📰 Digital Federal Credit Union The Secret To Financial Freedom No One Talks About 4704467 📰 A Geologist Estimates That A Rock Layer Erodes At 08 Cm Per Year If The Layer Is Currently 24 Cm Thick How Many Years Until Only 8 Cm Remains 9429755 📰 This Simple Hack Could Cut Your Insurance Costs By 70 On Term Life 3917467 📰 You Wont Believe How Real This Racing Cars Game Feelsdrop Everything And Play Now 6242328 📰 Pocketguard Reviews 1178950 📰 Apple Twitch 6717022 📰 Revealed The Real Power Behind The Evangelion Cast That Changed Anime Forever 1536335 📰 Never Run Out Of Cream Cheese Againthis Wild Substitute Will Save Your Recipes 5316944 📰 Youll Never Believe How Hilarious These Gifs Are 3814641 📰 Type Dragon Pokemon 9409690 📰 From Lush Screens To Capes And Power Upsexperience The Footsteps Of Mario Bros 2 The Movie 6363640 📰 Unbelievable Reality Of The Ks Lottery You Never Saw Coming 9861092 📰 A Most Violent Year 1361645 📰 Dolomites Hikers 7108951