Q. 2 A3.5( 2 Votes )

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

250 and 336

Answer :

250 = 2 × 125

= 2 × 5 × 25


= 2 × 5 × 5 × 5 = 2 × 55


336 = 2 × 168


= 2 × 2 × 84


= 2 × 2 × 2 × 42


= 2 × 2 × 2 × 2 × 21


= 2 × 2 × 2 × 2 × 3 × 7


= 24 × 3 × 7


Therefore, g. c. d(250, 336) = 2


l.c.m.(250, 336) = 24 × 3 × 7 × 53


= 16 × 21 × 125


= 336 × 125 = 42000


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