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Martin cut two wires with lengths of 256 cm and 644 cm into equal pieces without any wire left over. Find the greatest possible length of the pieces.

Respuesta :

Answer:

4 cm

Step-by-step explanation:

256 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 = 2^8

644 = 2 * 2 * 7 * 23 , combine 2 *2,

644 = 2^2 * 7 * 23

Without anymore common prime factors, we are only left with 2^2 for 256 and 644.

Simplifying 2^2, we get 4

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