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Mrs. Strickland, the math teacher, has 1818 logic puzzles and 99 visual puzzles that she wants to group into sets for students who finish their tests early. Mrs. Strickland wants each set to be identical, containing the same combination of logic puzzles and visual puzzles, with no puzzles left over. What is the greatest number of sets she can create?\newline_____\_\_\_\_\_ sets

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Q. Mrs. Strickland, the math teacher, has 1818 logic puzzles and 99 visual puzzles that she wants to group into sets for students who finish their tests early. Mrs. Strickland wants each set to be identical, containing the same combination of logic puzzles and visual puzzles, with no puzzles left over. What is the greatest number of sets she can create?\newline_____\_\_\_\_\_ sets
  1. Determine Operation Type: Step 11: Determine the type of mathematical operation needed to solve the problem. Since we need to distribute all puzzles into the maximum number of identical sets, we need to find the Greatest Common Factor (GCF) of the number of logic puzzles and visual puzzles.
  2. Calculate GCF: Step 22: Calculate the GCF of 1818 and 99. The factors of 1818 are 1,2,3,6,9,181, 2, 3, 6, 9, 18. The factors of 99 are 1,3,91, 3, 9. The common factors are 1,3,1, 3, and 99. The greatest common factor is 99.
  3. Use GCF for Sets: Step 33: Use the GCF to determine the number of sets. Since the GCF is 99, Mrs. Strickland can create 99 sets of puzzles, each containing 22 logic puzzles and 11 visual puzzle.

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