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Jagan is a wholesale Tea dealer, he has 306 kg, 234 kg and 405 kg of 3 different quantities of Tea. He wants it all to be packed into various boxes of equal size without mixing. Find the capacity of the largest possible box.
1. 9 kg
2. 11 kg
3. 13 kg
4. 15 kg

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Correct Answer - Option 1 : 9 kg

Given

The different quantities Tea are 306 kg, 234 kg and 405 kg.

Formula Used

Concept of HCF

Calculation

The different quantities of Tea are 306 kg, 234 kg and 405 kg

Required capacity of the largest possible box = HCF of 306, 234 and 405

So, HCF of 306, 234 and 405 = 9

∴ 9 kg is the capacity of the largest possible box.

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