Question

gurpreet has 12 red balloons and 16 blue balloons she wants to make equal bunches out of them in a way that each bunch has only 1 colour how many different ways can she make the bunches with sane colour in each bunch? what is the biggest bunch she can make

Answer 1

We would take out Hcf for the following no. Of balloons:
16=12*1+4
12=4*3+0
Therefore 4 balloons of different colour in different bunches.

Answer 2

Answer:

No. of red balloons = 12

No. of blue balloons = 16

We are supposed to find how many different ways can she make the bunches with sane color in each bunch

HCF of 12 and 16

2 | 12            2 |  16

2  | 6            2 |  8

3  |  3           2 | 4

   | 1             2  |  2

                       | 1

$12 = 2 \times 2 \times 3$

$16 = 2 \times 2 \times 2 \times 2$

HCF = $2 \times 2 = 4$

So, Se can make 3 bunches of red balloons 1 bunch having 4 red balloons

Se can make 4 bunches of blue balloons 1 bunch having 4 blue balloons