Three rows and the greatest common divisor
One spin draws three independent rows. Each row has four independent integers uniformly chosen from one through six. Find the greatest common divisor of all four integers in a row and subtract one to obtain its raw score.
Greatest common divisor one gives zero. Divisors two, three, four, five and six give scores one, two, three, four and five respectively. All four integers must share the divisor. Checking just a pair, or counting shared factors rather than the greatest common divisor, changes the rule. Each row uses one third of the captured total stake and the three gross row credits add.
Check all four integers in a row
The row 2,4,6,2 has greatest common divisor two and scores one. The row 3,6,3,6 has greatest common divisor three and scores two. The row 1,6,6,6 has greatest common divisor one and scores zero, despite three equal sixes.
The row 6,6,6,6 scores five. A repeated number does not itself qualify: the entire four-integer row determines the divisor. Zero raw score produces zero row credit in every mode. One zero row does not cancel positive credits from the other two rows.
Exact 1,296-tuple means and one-third row credits
Each row has 1,296 equally likely ordered four-integer tuples. Choose Low, Medium or High before spinning. Positive raw row scores receive square-root, identity or square weighting respectively; zero remains zero. These are weights rather than final payout multipliers.
Calculate each mode mean across all 1,296 tuples, including zero scores. Each row credits one third of the captured total stake times 0.96 times its weight divided by that mean. Add the three gross row credits. Each mode has 96% exact expected gross virtual return. The total stake is deducted before settlement, so gross return is not net profit.
Modes change positive credits after separate normalisation but preserve positive raw-score frequency. Neither 96% nor a shared divisor guarantees a session balance or a 96% winning chance. Repeated past rows do not make a future divisor due to appear.
Captured rounds and the persisted wallet
A new browser wallet starts with 1,000 free virtual coins. Settled balance and fractional-credit carry persist in localStorage. Reload does not replenish settled funds. Fractional row returns accumulate before whole coins are credited rather than being separately discarded.
A spin captures one total stake and mode for all three rows. Settings and refill lock during settlement and an active automatic queue. Auto runs at most ten rounds; Stop prevents future rounds while an active spin settles. Optional manual refill is available only while idle with balance below ten. It sets balance to 1,000 and preserves carry. Refill is not automatic. Coins cannot be purchased, transferred, redeemed or withdrawn.
Evidence limits for external claims
This guide authenticates no external operator, hardware manufacturer, official domain, licence, support contact, app publisher or commercial safety claim. A phone-related query, name, logo or attractive interface cannot establish affiliation. HTTPS encrypts transport to the selected host without certifying its business.
Common Divisor results describe only this browser simulator. They do not test a phone, outside game, funds or transactions. No commercial testing history, payout record, regulator endorsement or regional gambling authorisation is established here.
Frequently asked questions
Does this guide represent an operator or phone manufacturer?
No. It supplies its own simulator and authenticates no external commercial affiliation.
What are the random inputs?
Three independent rows, each with four independent uniformly distributed integers from one through six.
What does a raw row score measure?
The greatest common divisor of all four integers, minus one.
Why does 2,4,6,2 score one?
Its greatest common divisor is two. Subtracting one gives raw score one.
Why does 1,6,6,6 score zero?
The integer one makes the greatest common divisor one, so the score is zero despite the repeated sixes.
What does 6,6,6,6 score?
Five, from greatest common divisor six minus one.
Does every row use the full total stake?
No. Each uses one third of the captured total stake and the three gross credits add.
How many equally likely row tuples exist?
1,296 ordered tuples, from six possibilities at each of four independent positions.
Does the wallet refill automatically?
No. Optional manual refill while idle below ten sets balance to 1,000 and preserves fractional carry.
Does 96% guarantee a win or final balance?
No. It is exact expected gross virtual return per stake in this simulator model.
Inspect the home-page Common Divisor simulator using free virtual coins. Leave at your chosen stopping time.
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