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Three buckets contains balloons filled with water. First bucket contains 243 balloons. Second contains 304 balloons and last bucket contains 127 balloons. Find the largest number of balloons that can be given equally to the children such that 3, 4 and 7 balloons are left in first, second and third bucket respectively?
  • a)
    20
  • b)
    30
  • c)
    40
  • d)
    60
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Three buckets contains balloons filled with water. First bucket contai...
To find the largest number of balloons that can be given equally to the children, we need to find the greatest common divisor (GCD) of the three numbers: 243, 304, and 127.

Calculating the GCD:
- First, we can find the GCD of 243 and 304. We can use the Euclidean algorithm.
- 304 = 1 * 243 + 61
- 243 = 3 * 61 + 0
- The GCD of 243 and 304 is 61.
- Next, we find the GCD of 61 and 127.
- 127 = 2 * 61 + 5
- 61 = 12 * 5 + 1
- 5 = 5 * 1 + 0
- The GCD of 61 and 127 is 1.
- Finally, we find the GCD of 1 and 7.
- 7 = 7 * 1 + 0
- The GCD of 1 and 7 is 7.

Therefore, the largest number of balloons that can be given equally to the children is the GCD of 243, 304, and 127, which is 7.
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Community Answer
Three buckets contains balloons filled with water. First bucket contai...
HCF (240, 300, 120) = 60
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Three buckets contains balloons filled with water. First bucket contains 243 balloons. Second contains 304 balloons and last bucket contains 127 balloons. Find the largest number of balloons that can be given equally to the children such that 3, 4 and 7 balloons are left in first, second and third bucket respectively?a)20b)30c)40d)60e)None of theseCorrect answer is option 'D'. Can you explain this answer?
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