Question

Can anyone tell me the following statement’s answer

A wholesale tea dealer has 408kg,468kg and 516 kg of three different qualities of tea. He wants it all to be packed into boxes of equal size without mixing. Find the capacity of the largest possible box

Plz anyone

Answer 1

The largest capacity of each box = HCF(408,468,516)

                                                       = 4

To be packed into boxes of equal size without mixing, he should pack them in boxes of 4 kg.

Answer 2

Answer:

12 kg

Step-by-step explanation:

Find the Prime Factors :

408 = 2³ x 3 x 17

468 = 2² x 3² x 13

516 = 2² x 3 x 43

Find the HCF:

HCF = 2² x 3 = 12

⇒ 12 is the highest common factors of the 4 numbers

Therefore capacity of the largest box is 12 kg