Q2 of 128 Page 18

Find g. c. d. and l.c.m.. using the fundamental theorem of arithmetic:

4000 and 25

4000 = 2 × 2000

= 2 × 2 × 1000


= 2 × 2 × 2 × 500


= 2 × 2 × 2 × 2 × 250


= 2 × 2 × 2 × 2 × 2 × 125


= 2 × 2 × 2 × 2 × 2 × 5 × 25


= 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5


= 25 × 53


25 = 5 × 5


g. c. d(4000, 25) = 5 × 5 = 25


l.c.m.(4000, 25) = 25 × 53 = 4000


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