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#### 6.6.2.7 Operations on Integer Values

- Scheme Procedure:
**even?***n* - C Function:
**scm_even_p***(n)* Return

`#t`

if`n`is an even number,`#f`

otherwise.

- Scheme Procedure:
**quotient***n d* - Scheme Procedure:
**remainder***n d* - C Function:
**scm_quotient***(n, d)* - C Function:
**scm_remainder***(n, d)* Return the quotient or remainder from

`n`divided by`d`. The quotient is rounded towards zero, and the remainder will have the same sign as`n`. In all cases quotient and remainder satisfy.`n`=`q`*`d`+`r`(remainder 13 4) ⇒ 1 (remainder -13 4) ⇒ -1

See also

`truncate-quotient`

,`truncate-remainder`

and related operations in Arithmetic Functions.

- Scheme Procedure:
**modulo***n d* - C Function:
**scm_modulo***(n, d)* Return the remainder from

`n`divided by`d`, with the same sign as`d`.(modulo 13 4) ⇒ 1 (modulo -13 4) ⇒ 3 (modulo 13 -4) ⇒ -3 (modulo -13 -4) ⇒ -1

See also

`floor-quotient`

,`floor-remainder`

and related operations in Arithmetic Functions.

- Scheme Procedure:
**gcd***x…* - C Function:
**scm_gcd***(x, y)* Return the greatest common divisor of all arguments. If called without arguments, 0 is returned.

The C function

`scm_gcd`

always takes two arguments, while the Scheme function can take an arbitrary number.

- Scheme Procedure:
**lcm***x…* - C Function:
**scm_lcm***(x, y)* Return the least common multiple of the arguments. If called without arguments, 1 is returned.

The C function

`scm_lcm`

always takes two arguments, while the Scheme function can take an arbitrary number.

- Scheme Procedure:
**modulo-expt***n k m* - C Function:
**scm_modulo_expt***(n, k, m)* Return

`n`raised to the integer exponent`k`, modulo`m`.(modulo-expt 2 3 5) ⇒ 3

- Scheme Procedure:
**exact-integer-sqrt**`k` - C Function:
*void***scm_exact_integer_sqrt***(SCM*`k`, SCM *`s`, SCM *`r`) Return two exact non-negative integers

`s`and`r`such thatand`k`=`s`^2 +`r`. An error is raised if`s`^2 <=`k`< (`s`+ 1)^2`k`is not an exact non-negative integer.(exact-integer-sqrt 10) ⇒ 3 and 1

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