#1508 · Number Theory · Digits

GCM in base‑six

Find the greatest common measure (GCM) of $3114 1_{6}$ and $310 2_{6}$ , using only the ordinary rules of arithmetic in base 6 (no conversion to decimal).

~5 minAnswer checked instantlyGCDbase arithmetic

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. VII. Scales of Notation, Examples VII.a, No. 16 (part 1)

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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).