HP 40gs User Manual

Page 229

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Computer Algebra System (CAS)

14-47

DIVIS

Gives the divisors of an integer.

Example

Typing:

DIVIS(12)

gives:

12 OR 6 OR 3 OR 4 OR 2 OR 1

Note: DIVIS(0) returns 0 OR 1.

EULER

Returns the Euler index of a whole number. The Euler
index of n is the number of whole numbers less than n that
are prime with n.

Example

Typing:

EULER(21)

gives:

12

Explanation: {2,4,5,7,8,10,11,13,15,16,17,19} is
the set of whole numbers less than 21 and prime with 21.
There are 12 members of the set, so the Euler index is12.

FACTOR

Decomposes an integer into its prime factors.

Example

Typing:

FACTOR(90)

gives:

2·3

2

·5

GCD

Returns the greatest common divisor of two integers.

Example

Typing:

GCD(18, 15)

gives:

3

hp40g+.book Page 47 Friday, December 9, 2005 1:03 AM

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