If the square-shaped sweet pieces of equal size are to be cut out from a sweet tray 45 centimetres long and 36 centimetres wide, what will be the maximum possible length of each sweet piece? (centimetres=cm)

3cm

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9cm

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1cm

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15cm

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Solution

The correct option is B
9cm

Length of sweet tray=45 cm

Width of of sweet tray=36 cm

Factors of 45 : 1,3,5,9,15,45

Factors of 36 :1,2,3,4,6,9,12,36

Common factors : 1,3,9

The maximum possible length of the sweet is HIGHEST COMMON FACTOR and HCF of 36 and 45 is 9.

Therefore, the maximum possible length of each sweet piece is 9cm.
(cm-Centimetres)

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