A sweet seller has `420` Kaju burfis and `130` Badam burfis she wants to stack them in such a way that each stack has the same number, and they take up the least area of the tray. What is the number of burfis that can be placed in each stack for this purpose?

Explanation

Maximum number of burfis in each stack = H.C.F. of 420 and 150
`420 = 2 xx 2 xx 3 xx 5 xx 7 , 150 = 2xx 3 xx 5 xx 5`
`therefore " "` H.C.F. = ` 2 xx 3 xx 5 = 30`
`therefore` Maximum number of burfis in each stack = 30
`therefore` Also , number of stacks = `(420)/(30) + (150)/(30) = 14 + 5 = 19`