The Huffman Corporation would like to donate 15 computers and 20 printers to local schools. The corporation would like to make sure that each school receives the same set of computers and printers, with none left over. What is the greatest number of schools that The Huffman Corporation can donate to? _____ schools

Question

The Huffman Corporation would like to donate 15 computers and 20 printers to local schools. The corporation would like to make sure that each school receives the same set of computers and printers, with none left over. What is the greatest number of schools that The Huffman Corporation can donate to?  _____ schools

Bytelearn · Accepted Answer

Find GCD/GCF: To solve this problem, we need to find the greatest common divisor (GCD) or greatest common factor (GCF) of the number of computers (15) and printers (20) that The Huffman Corporation wants to donate. This is because the GCD will tell us the largest number of schools that can receive an equal number of computers and printers without any remaining.List factors of 15: First, we list the factors of 15, which are 1, 3, 5, and 15.List factors of 20: Next, we list the factors of 20, which are 1, 2, 4, 5, 10, and 20.Identify common factors: We then identify the common factors of both 15 and 20. The common factors are 1 and 5.Calculate GCF: The greatest common factor (GCF) of 15 and 20 is 5, as it is the largest number that is a factor of both 15 and 20.Determine number of schools: Therefore, the greatest number of schools that The Huffman Corporation can donate to, with each school receiving the same set of computers and printers and none left over, is 5.

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