The Golden Ratio is a mathematical ratio. In mathematics, when a line is divided into two parts and the longer part (a) divided by the smaller part (b) is equal to the sum of (a) + (b) divided by (a), which both equal 1.618.

*a*b = *a + b*a = 1.618 = Φ (phi)

Where ‘phi’ Φ represents golden ratio.

When we divide a line into two parts so that:

the long part divided by the short part is also equal to the whole length divided by the long part.

Golden ratio, also known as the **golden section**, **golden mean**, or **divine proportion**, in mathematics, the irrational number (1 + Square root of√5)/2, often denoted by the Greek letter ϕ or τ, which is approximately equal to 1.618.

**Formula**

As above,

*a*b = *a + b*b

*a*b = *a*a + * b*a

*a*b is the Golden Ratio φ, *a*a=1 and *b*a=*1*φ, which gets us:

Φ(phi) = 1 + *1*Φ

**How to Calculate**

Simple formula for the Golden Ratio

Φ(phi) = *1*2 + *√5*2