1 files changed, 13 insertions, 2 deletions
diff --git a/factors/totative.go b/factors/totative.go
index 3a1f635..7a4bebe 100644
--- a/factors/totative.go
+++ b/factors/totative.go
@@ -1,12 +1,22 @@
 package factors
 
-// TotativeRatio calculates the fraction of numbers less than n that
+// TotativeRatio calculates the fraction of numbers that
 // are totatives of n (share no factors with n)
 func TotativeRatio(n uint) float64 {
 	if n == 0 {
 		panic("0 has no totative ratio!")
 	}
 
+	return float64(TotativeCount(n)) / float64(n)
+}
+
+// TotativeCount calculates the number of numbers less than n that
+// are totatives of n (share no factors with n)
+func TotativeCount(n uint) uint {
+	if n == 0 {
+		return 0
+	}
+
 	primeFactorization := PrimeFactorize(n)
 	num, denom := uint(1), uint(1)
 
@@ -14,5 +24,6 @@ func TotativeRatio(n uint) float64 {
 		num *= p - 1
 		denom *= p
 	}
-	return float64(num) / float64(denom)
+
+	return num * (n / denom)
 }