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Q.

Three different containers contain different quantities of mixtures of milk and water, whose measurements are 403 kg, 434 kg and 465 kg, The biggest measure that can measure all the different quantities exactly is ____ kg.


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Detailed Solution

Three different containers contain different quantities of mixtures of milk and water, whose measurements are 403 kg, 434 kg and 465 kg, The biggest measure that can measure all the different quantities exactly is 31 kg.
Given three different containers contain different quantities of mixtures of milk and water, whose measurements are 403 kg, 434 kg and 465 kg.
Prime factorization of all are,
Question ImagePrime factors of 403, 434, 465 are,
403=13×31 434=2×7×31 465=3×5×31   The HCF of 403, 434, 465 is 31.
Hence, the biggest measure is 31 kg.
 
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