The divisible quotient is exactly an integer with no remainder, so we say that A can be divisible by B, or B can be divisible by A, which is called a multiple of B, and B is called a divisor (or factor) of A. Before college, it was generally a positive divisor. Factor and multiple are interdependent, so we can't say that a number is a divisor or alone. The divisor of a number is limited.

For example, in the range of natural numbers, the divisor of 6 is: 1, 2, 3, 6.

The divisors of 10 are: 1, 2,5, 10.

The divisors of 15 are: 1, 3,5, 15.

Note: The divisor of a number includes 1 and itself. For example, 24 is divisible by 1, 2, 3, 4, 6, 8, 12, 24.

So the divisors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24.

Edit the common divisor of the greatest common divisor in this paragraph If a number c is both a divisor of a number and a divisor of a number b, then c is called the common divisor of a and b, which can be expressed as (a, b) = c. 。

The greatest common divisor of two numbers is called the greatest common divisor of these two numbers.

The solution of the greatest common divisor 1,

enumeration method

List the divisors of two numbers one by one, find their common divisors, and then find the largest one from the common divisors, which is the greatest common divisor of these two numbers. For example, find the greatest common divisor of 30 and 24. The divisors of 30 are: 1, 2, 3, 5, 6,10,65438+.

The divisors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24.

The greatest common divisor is 6, so the greatest common divisor of 30 and 24 is 6.