4 metal rods of length 78 cm,104 cm,117cm, a.nd 169 cm are to be cut into parts of equal length Each length must be as long as possible What is the maximum number of pieces that can be cut?


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Question Number 55476 by pooja24 last updated on 25/Feb/19

$4 m e t a l r o d s o f l e n g t h 78 c m, 104 c m, 117 c m,$ $a . n d 169 c m a r e t o b e c u t i n t o p a r t s o f e q u a l l e n g t h$ $E a c h l e n g t h m u s t b e a s l o n g a s p o s s i b l e$ $W h a t i s t h e m a x i m u m n u m b e r o f p i e c e s$ $t h a t c a n b e c u t ?$
	Answered by Joel578 last updated on 25/Feb/19

	$GCD (78, 104, 117, 169) = 13$ $Number of pieces = \frac{78}{13} + \frac{104}{13} + \frac{117}{13} + \frac{169}{13} = 36$
	Commented by tanmay.chaudhury50@gmail.com last updated on 25/Feb/19

	$e x c e l l e n t . . . c o n f i d a n c e e n h a n c e d e t e r m i n a t i o n . . .$
	Commented by Joel578 last updated on 25/Feb/19

	$t h a n k s s i r$
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