Question

There are 312 mango bites, 260 eclairs and 156 coffee bites in a box. These are

to be put in packets so that each packet contains the same number of toffees.

Find the maximum number of toffees in each packet.​

Answer 1

$\green{\underline\textbf{Given...}}$

✰✰ No. of mango bites in a box = 312

✰✰ No. of eclairs in a box = 260

✰✰ No. of coffee bites in a box = 156

$\green{\underline\textbf{To find...}}$

✰✰ Maximum number of toffees in each packet...

$\green{\underline\textbf{SoLution...}}$

To find the maximum number of toffees in each packet, we have to find the HCF...

⠀⠀⠀⠀312 = 2³ × 3 × 13

⠀ ⠀⠀ 260 = 2² × 5 × 13

⠀⠀⠀ ⠀156 = 2² × 3 × 13

• 2 × 2 × 13

⠀⠀⠀ $\boxed{\red{\underline\textbf{HCF = 52}}}$⠀ ⠀⠀ ⠀⠀⠀

Therefore, the maximum number of toffees each packets will be 52...❣️