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Why is the GCF of two or more positive integers never greater than the least of the numbers?
Wiki User
∙ 14y ago
GCF stands for Greatest Common Factor. A factor is a number that goes into another number a whole number of times, and for the GCF to be larger that the least of the numbers, it would go into one number a fraction of a time.
Wiki User
∙ 14y ago
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Why do we not use zero as a least common multiple of two numbers?
The reason we do not use zero as the least common multiple (LCM) of two numbers is because the LCM is defined as the smallest positive integer that is divisible by both numbers. Since zero is not a positive integer, it cannot be considered as the LCM of any two numbers. The LCM is always a positive value that is greater than zero
What is the definition of least common factor?
The least common factor of any set of positive integers is 1.
What is the least common multiple of the first ten positive integers?
2520
Which is greater the greatest whole number with five digits or the least whole number with 6 digits?
Integers of 6 digits are normally greater than integers of 5 digits
What is the least common factor of 2 and 5?
The least common factor of any set of positive integers is 1.
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?
All positive integers are divisible by at least one number.
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).
Is the is the least common factor of a set of numbers always equal to one of the numbers in the set?
The least common factor of any two or more positive integers is always 1.
In order from greatest to least which will go first 7 or -5?
12
What is the least common factor of 15 and 27?
The least common factor of any two or more positive integers is always 1
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).
What is the least common factor when numbers are relatively prime?
The least common factor of any set of positive integers is 1. The least common multiple of relatively prime numbers is their product.
9 squared belongs to what family of real numbers?
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.
What the odd composite number divisible by 5 and 9 greater than 50?
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.
What is the lcf of 17 and 6?
You need at least two numbers to find out what they have in common.
