Find g. c. d. and l.c.m.. using the fundamental theorem of arithmetic:
175 and 1001
175 = 5 × 35 = 5 × 5 × 7
1001 = 7 × 143 = 7 × 11 × 13
g. c. d(175, 1001) = 7
l.c.m.(175, 1001) = 52 × 7 × 11 × 13
= 25025
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