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📰 To maximize \( d \), we take the largest divisor of 144 such that \( \frac{144}{d} \geq 2 \) and there exist coprime \( m, n \) with \( m + n = \frac{144}{d} \). 📰 The largest divisor of 144 is 144 itself, but then \( m + n = 1 \), impossible. Next, try \( d = 72 \): then \( m + n = 2 \), so \( m = n = 1 \), which are coprime. Then \( a = 72 \), \( b = 72 \), and \( \gcd(72, 72) = 72 \). Valid. 📰 So the maximum possible \( \gcd(a, b) \) is: 📰 Yinz 9567406 📰 Zipping Into Orlandos Zip Codes The Exact Answer To Where Property Values Truly Live 7170554 📰 Youll Never Believe How Happily 401K Loan From Fidelity Can Save You Thousands 468432 📰 The Lichs Return In Adventure Time Total Obsession You Cant Afford To Miss 5663119 📰 Inside The Fidelity Executive Team Secrets Behind Their Unstoppable Success 7789333 📰 The Untold Story Behind Rodney Hilton Jrthe Real Reason His Legacy Matters Now 1328571 📰 Unlock The Ultimate Challenge The Ssnake Game Is Coming To Arcades Your Phone 33318 📰 The Ultimate Volume Control Hack That Changes How You Listen Forever 2969658 📰 Smudge Monkey Jellycat 8880960 📰 Why 2020S Basketball Stars Are Changing The Game Forever 5913758 📰 Current Prime Interest Rate 7815288 📰 You Wont Believe These 10 Creepy Online Games That Scare Players Nightmares 6505857 📰 Is This The Most Addictive Game Youll Ever Playon Find Out Now 8744239 📰 Top Secret Trick How To Add A Bold Border In Word You Need To Try This 7654777 📰 Java Development Kit Unveiled The Secret Toolkit Every Developer Wants 2676666