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a)

Factors of 54 Factors of 108 Factors of 189
1 × 54 1 × 108 1 × 189
2 × 27 2 × 54 3 × 63
3 × 18 3 × 36 7 × 27
6 × 9 4 × 27 9 × 21
  6 × 18  
  9 × 12  

Greatest possible equal length she can cut from all three strings is 27 cm.

b) 54 ÷ 27 = 2 pieces from first rope
108 ÷ 27 = 4 pieces from second rope
189 ÷ 27 = 7 pieces from third rope

2 + 4 + 7 = 13 pieces in total

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