What is the LCM and GCF of 9 and 17?

The question "What is the LCM and GCF of 9 and 17?" can be split into two questions: "What is the LCM of 9 and 17?" and "What is the GCF of 9 and 17?"

In the question "What is the LCM and GCF of 9 and 17?", LCM is the abbreviation of Least Common Multiple and GCF is the abbreviation of Greatest Common Factor.

To find the LCM, we first list the multiples of 9 and 17 and then we find the smallest multiple they have in common. To find the multiples of any number, you simply multiply the number by 1, then by 2, then by 3 and so on. Here is the beginning list of multiples of 9 and 17:

Multiples of 9: 9, 18, 27, 36, 45, 54, etc.

Multiples of 17: 17, 34, 51, 68, 85, 102, etc.

The least multiple on the two lists that they have in common is the LCM of 9 and 17. Therefore, the LCM of 9 and 17 is 153.

To find the GCF, we first list the factors of 9 and 17 and then we find the largest factor they have in common. The factors of any number, are all the numbers that you can evenly divide into that number.

In other words, the factors of 9 are all the numbers that can evenly divide into 9, and the factors of 17 are all the numbers that can evenly divide into 17. Here are the factors for 9 and 17:

Factors of 9: 1, 3, and 9.

Factors of 17: 1 and 17.

The greatest factor on the two lists that they have in common is the GCF of 9 and 17. Therefore, the GCF of 9 and 17 is 1.

In summary, the answer to the question "What is the LCM and GCF of 9 and 17?" is 153 and 1.

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