Free online golden ratio calculator. Golden ratio computations and sequences. Accurate and easy to use.
φ = 1.618033988749895
Exact form: (1 + √5) / 2
Continued fraction: 1 + 1/(1 + 1/(1 + ...))
Segment a
10.000000
Segment b
6.180340
Sum (a + b)
16.180340
a / b
1.618034
φ Properties
φ² = 2.618034
φ³ = 4.236068
1/φ = 0.618034
Fibonacci ratio: Fn+1 / Fn → φ as n → ∞
Relationship: a/b = φ = (a+b)/a