What is the LCM and GCF of 37 and 10?

The question "What is the LCM and GCF of 37 and 10?" can be split into two questions: "What is the LCM of 37 and 10?" and "What is the GCF of 37 and 10?"

In the question "What is the LCM and GCF of 37 and 10?", 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 37 and 10 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 37 and 10:

Multiples of 37: 37, 74, 111, 148, 185, 222, etc.

Multiples of 10: 10, 20, 30, 40, 50, 60, etc.

The least multiple on the two lists that they have in common is the LCM of 37 and 10. Therefore, the LCM of 37 and 10 is 370.

To find the GCF, we first list the factors of 37 and 10 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 37 are all the numbers that can evenly divide into 37, and the factors of 10 are all the numbers that can evenly divide into 10. Here are the factors for 37 and 10:

Factors of 37: 1 and 37.

Factors of 10: 1, 2, 5, and 10.

The greatest factor on the two lists that they have in common is the GCF of 37 and 10. Therefore, the GCF of 37 and 10 is 1.

In summary, the answer to the question "What is the LCM and GCF of 37 and 10?" is 370 and 1.

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