Find the missing numbers in these flowers

Can you figure out the pattern and solve for the three missing numbers?

All petals and centers each contain a single digit.

There is a unique solution for each missing number. Hint 1:

The order of the four petals on each flower does not matter. They can be rearranged in any order.

Hint 2:

The center value is calculated using the four petals.

Left petal in top

$$6$$

Centre petal in centre

$$2$$

Right petal in bottom

$$9$$

Reasoning

Multiply the four petals together and take the answer modulo $$9$$ to give the central square where we take $$9$$ (mod $$9$$) instead of $$0$$ (mod $$9$$), for this convention.

As pointed out by OP

The central square is also the digital root of the product of the petals.

• Great job, that's correct! I based the answers on yesterday's date (June 29). The calculation I used for the central square is digital root which is equivalent to $1+[(x-1)\text{ mod }9]$. Jun 30 '20 at 10:49
• @eyl327 Ah, yes, of course, thank you. Jun 30 '20 at 10:58