A whole sale dealer has 408 kilograms, 468 kilograms, and 516 kilograms of different forms of tea. He wants it all to pack into boxes of equal size without mixing. Find the capacity of the possible box. - IQ786

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A whole sale dealer has 408 kilograms, 468 kilograms, and 516 kilograms of different forms of tea. He wants it all to pack into boxes of equal size without mixing. Find the capacity of the possible box.

A whole sale dealer has 408 kilograms, 468 kilograms, and 516 kilograms of different forms of tea. He wants it all to pack into boxes of equal size without mixing. Find the capacity of the possible box.

50

36

12

None of these

Explanation

Find HCF of 408, 468, and 516

Prime factorizations:
- 408 = $2^{3} \cdot 3$
- 468 = $2^2 cdot 3 cdot 13$
- 516 = $2^{2} \cdot 3 \cdot 43$

Common: 2^2.3 = 4.3=12