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I think you meant to say that it's never greater than the least of the numbers.

The easiest explanation is to simply remind you that the GCF is a factor of every number

in the group, and no factor of a number can be greater than the number itself.

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12y ago

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Related Questions

When putting integers into greatest to least what comes first negative or positive?

Negative numbers are smaller than 0, while positive numbers are greater than zero. Therefore, when ordering integers from greatest to least, positive numbers come first. Here is an example of a list of integers ordered from greatest to least: 99, 54, 26, 21, 14, 8, 2, -5, -14, -62, -87, -89, -92, -98


Why is 1 the least positive integer?

Integers are numbers that are not followed by decimals, so they are "complete" numbers. Numbers below zero are not positive, and zero itself is neither positive nor negative, so positive integers are 1, 2, 3, 4, 5, and so on. 1 is the smallest number of these, so it is the least positive integer.


All divisible numbers?

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Does a set of whole numbers includes zero but the natural numbers do not?

Actually, the "set of whole numbers" doesn't have a unique definition, so it's better to avoid that term, at least in professional circles. For some people, "whole numbers" means positive numbers (usually including zero), for others, it means "integers" (i.e., both positive and negative whole numbers). The only thing you can be sure about when the term "whole numbers" is used is that it does NOT include fractions or numbers with decimals. The term "natural numbers", on the other hand, was originally used for whole numbers starting with 1; but in recent decades, it has become quite common to include zero. To avoid confusion, you better use terms such as: "Positive integers" (greater or equal to 1) "Non-negative integers" (greater or equal to 0) "Integers" (any whole number, can be zero, positive, negative).


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The least common factor of any set of positive integers is 1. The least common multiple of relatively prime numbers is their product.


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At least the following families: all integers; all positive integers; all odd integers; and all "square integers", that is, integers that are squares of other integers.


Does the set of a whole number includes zero but the natural number do not?

Actually, the "set of whole numbers" doesn't have a unique definition, so it's better to avoid that term, at least in professional circles. For some people, "whole numbers" means positive numbers (usually including zero), for others, it means "integers" (i.e., both positive and negative whole numbers). The only thing you can be sure about when the term "whole numbers" is used is that it does NOT include fractions or numbers with decimals. The term "natural numbers", on the other hand, was originally used for whole numbers starting with 1; but in recent decades, it has become quite common to include zero. To avoid confusion, you better use terms such as: "Positive integers" (greater or equal to 1) "Non-negative integers" (greater or equal to 0) "Integers" (any whole number, can be zero, positive, negative).


Why do we not use zero as a least common multiple of two numbers?

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Any number of the from 5a9b where a and b are positive integers and at least one of them is >1 will satisfy the requirements. There are infinitely many such numbers.