Q. 2 B4.3( 3 Votes )

# 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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