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 problems are used with official legal permission of the Mathematical Association of America (MAA).
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These problems’ difficulty ratings come from real solve attempts on our platform. Tap a band or a contest to filter the list below, and tap a selected band again to include all difficulties. See the full difficulty guide.
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
1954 AMC 12 Problem 4 • 1959 AMC 12 Problem 42 • 1960 AMC 12 Problem 8 • 1968 AMC 12 Problem 15 • 1970 AMC 12 Problem 34 • 1971 AMC 12 Problem 12 • 1972 AMC 12 Problem 34 • 1973 AMC 12 Problem 29 • 1976 AMC 12 Problem 15 • 1985 AMC 12 Problem 26 • 1987 AMC 12 Problem 25 • 1989 AMC 12 Problem 16 • 1990 AMC 12 Problem 19 • 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
1985 AIME Problem 13 • 1988 AIME Problem 8 • 1991 AIME Problem 5 • 1992 AIME Problem 5 • 1996 AIME Problem 14 • 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