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In order to protect from COVID 19 the head of a residential colony orders 960 hand gloves 3360 face mask and 1440 hand sanitizers. Assume that each family of the colony get the same number of hand gloves, face masks and hand sanitizers. Find the maximum number of families possible, in that community.

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eginarrayl	extTotal hand gloves=960\ 	extFace masks=3360\ 	extHand sanitizers=1440\ 	extgiven that each family will get same number of items listed above.\ 	extMaximum number of families=?\ 	extTo get 	extmaximum number of families 	extwe need to find out H.C.F of 960,3360	ext and 1440\ 	extFactors of  960=2	imes2	imes2	imes2	imes2	imes2	imes3	imes5	imes1\ 	extFactors of 3360=2	imes2	imes2	imes2	imes2	imes3	imes5	imes7	imes1\ 	extFactors of 1440=2	imes2	imes2	imes2	imes2	imes2	imes5	imes3	imes3	imes1\ 	extH.C.F=2	imes2	imes2	imes2	imes2	imes3	imes5	imes1=480\ 	extMaximum number of families=	extH.C.F=480.\ endarray

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Deependra Verma

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