Greatest common divisor — AMC & AIME Problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses greatest common divisor — a number theory concept — each with a professionally curated solution, many with a video solution too, from LIVE by Po-Shen Loh. Browse all concepts or the full past-contest archive.
All of these problems are used with official legal permission of the Mathematical Association of America (MAA).
AMC 8
1993 AMC 8 Problem 2 · 2009 AMC 8 Problem 11 · 2012 AMC 8 Problem 13 · 2013 AMC 8 Problem 10 · 2024 AMC 8 Problem 23
AMC 10
2003 AMC 10B Problem 18 · 2006 AMC 10A Problem 22 · 2007 AMC 10B Problem 25 · 2010 AMC 10B Problem 8 · 2013 AMC 10B Problem 9 · 2018 AMC 10A Problem 22 · 2018 AMC 10B Problem 23 · 2019 AMC 10A Problem 10 · 2020 AMC 10A Problem 24 · 2022 AMC 10A Problem 7 · 2023 AMC 10B Problem 18 · 2025 AMC 10A Problem 17 · 2025 AMC 10B Problem 25
AMC 12
2003 AMC 12B Problem 12 · 2005 AMC 12A Problem 12 · 2006 AMC 12A Problem 14 · 2006 AMC 12B Problem 25 · 2007 AMC 12B Problem 24 · 2010 AMC 12A Problem 20 · 2010 AMC 12B Problem 3 · 2013 AMC 12B Problem 14 · 2016 AMC 12B Problem 24 · 2018 AMC 12B Problem 19 · 2020 AMC 12A Problem 21 · 2021 AMC 12B Fall Problem 16 · 2022 AMC 12A Problem 4 · 2023 AMC 12B Problem 15 · 2023 AMC 12B Problem 24
AIME
2000 AIME I Problem 3 · 2000 AIME I Problem 12 · 2005 AIME II Problem 4 · 2007 AIME II Problem 5 · 2012 AIME I Problem 15 · 2014 AIME I Problem 3 · 2016 AIME I Problem 5 · 2016 AIME I Problem 14 · 2017 AIME I Problem 2 · 2019 AIME I Problem 7 · 2021 AIME I Problem 7 · 2021 AIME I Problem 10 · 2021 AIME II Problem 9 · 2023 AIME II Problem 5 · 2025 AIME II Problem 11 · 2026 AIME II Problem 1