Answer to Question #248887 in Combinatorics | Number Theory for Jam

Question

there are 14 blue and 28 red bulbs to be used for a birthday party. they are to be placed in a plastic bag so that each bag contains the same number. what is the largest plastic bag will be needed

Answer 1

Solution:

No. of blue bulbs = 14

No. of red bulbs = 28

Largest no. of plastic bag required is HCF of 14, 28.

$14=2\times 7 \\28=2\times 2\times 7$

HCF(14, 28)$=2\times 7=14$ .