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📰 Thus, \( d \) must be a divisor of 144, and \( m + n = \frac{144}{d} \). Since \( m \) and \( n \) are coprime positive integers, \( m + n \geq 2 \), so \( \frac{144}{d} \geq 2 \Rightarrow d \leq 72 \). 📰 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. 📰 Cancun Travel Advisory 2574502 📰 Angie Harringtons Life Changing Moment No One Expectedwill You Believe It 1170640 📰 You Wont Believe What Hidden Gem Tiny Bookshop Switch Holds Inside 1138904 📰 Visa Fidelity Card What It Does And Why Everyones Talking About It 3319361 📰 A Mars Habitat Module Maintains Pressure Via A Feedback System The Oxygen Generator Adds 45 Of Current Pressure Each Hour While Leaks Reduce It By 12 Per Hour Starting At 100 Kpa What Is The Pressure After 5 Hours 6559626 📰 Youll Never Guess How The Ns Planner Transformed My Academic Successturn The Page 5076321 📰 You Wont Believe How 123Rescue Transformed Dog Rescue Forever 627048 📰 Zip Code In Austin Tx Get Your Exact Code Uncover Proximity Perks Now 3350051 📰 Wellness Aaaand The Ultimate Bleach Filler Hack Youve Never Seen 8920110 📰 What Are Options Trading The Shocking Truth Behind This Secret Wealth Opportunity 4904282 📰 Where To Watch Wicked For Good 6867011 📰 Get Your Azure Virtual Desktop Instantly Free Download Now Transform Your Workflow 1502079 📰 Step Into The Spotlight Tutu Dress Skirt That Gives Every Outfit A Bold Sweet Twist 5398388 📰 Watch The Dark Knight Rises 4629077 📰 Meritage Resort Napa Valley Ca 9985019