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Cut List Optimizer

Enter every cut you need and the board lengths your yard sells. It works out which boards to buy and which cuts come out of each one, with the saw kerf counted.

Cut list

Stock boards
Separate with commas. Enter one length to use only that board.
1/8" for most framing blades
To square up rough or split ends
Cuts
Quantity @ length, like 4 @ 92 5/8 or 2 x 3' 6. A length alone means one piece.

Boards to buy—
Pieces cut—
Length bought—
Offcuts (waste)—

Cutting plan

BoardsStockCuts from each boardOffcut

Cuts are listed longest first, in the order you'd cut them. Each cut takes one saw kerf, and the offcut is what's left after the last kerf. Yard lumber is usually a little long, which only adds to the offcut. Print the plan or copy it to your phone before you go to the saw.

⚠ Check all math and verify with a licensed engineer and your local building department before cutting or building. Results are estimates.

Sources: Cut List Optimizer

  1. Cutting-stock packingFormulaEach board gets the combination of remaining cuts that leaves the least offcut (an exact search in 1/16" steps). Every cut uses its length plus one kerf; the plan that buys the least total length wins.
  2. Saw kerf of about 1/8"Rule of thumb for standard 7-1/4" framing bladesThe default kerf. Thin-kerf blades remove less; measure yours if it matters.

Code tables are copied from the documents above and checked against a second copy where noted. Your local code, its edition and amendments govern. Check all math and verify with a licensed engineer and your building department. See the terms & disclaimer.

How to use the cut list optimizer

  1. Enter the board lengths you can buy. List what your yard stocks, like 8', 10', 12', 16'. To plan around one length, say a lift of 16s, enter just that one.
  2. Set the kerf. The kerf is the wood the blade turns into sawdust. A standard 7-1/4" framing blade is about 1/8". Thin-kerf blades are closer to 3/32".
  3. Type your cut list, one length per line, as quantity @ length: 6 @ 34 1/2. Feet and inches work too: 2 @ 3' 6.
  4. Read the plan. "Boards to buy" is your shopping list. The cutting plan shows which cuts come out of each board, and the bars draw it to scale.

How it finds the fewest boards

This is the classic "cutting stock" problem. The calculator fills one board at a time. For each board it checks every stock length you entered and finds the combination of remaining cuts that leaves the smallest offcut on that board. It keeps the length that fills best, and when everything left fits on one board, it picks the shortest board that holds it all. It runs that again for each single stock length and shows the plan that buys the least total lumber.

Each cut uses its length plus one kerf. The last cut on a board doesn't need a kerf if it lands exactly at the end, so a board fits cuts whose lengths plus kerfs come to no more than the board length plus one kerf.

Example: four 92-5/8" studs. Two of them plus two kerfs take 92-5/8 + 92-5/8 + 1/8 + 1/8 = 185-1/2", so two fit on a 16' (192") board with 6-1/2" left. Two 16s or four 8s waste the same wood, so the plan picks two 16s: fewer boards to carry and handle.

Why kerf matters: a 60" and a 36" cut add up to exactly 96", but with a 1/8" kerf they don't come out of an 8' board: 60 + 1/8 + 36 = 96-1/8". Set the kerf to 0 and the calculator will put them on one board. In real life you'd end up 1/8" short.

Tips for less waste

FAQ

How do I figure out how many boards I need for my cuts?

List every cut and its quantity, add one saw kerf (about 1/8") per cut, and fit the cuts onto the board lengths you can buy, longest cuts first. This calculator does that fitting for you and shows which cuts come from each board.

What is saw kerf and why does it matter?

Kerf is the width of wood the saw blade removes, about 1/8" for a standard circular saw blade. Every cut costs one kerf, so two pieces that add up to exactly the board length won't both fit. Over many cuts, kerf adds up.

Is it cheaper to buy long boards or short boards?

Long boards often cost a little more per foot, but they let you fit more combinations of cuts with less waste. Enter the lengths your yard sells and compare the plans. Use the lumber cost calculator to price them.

Does the optimizer always find the best possible plan?

It finds the best fill for each board and tries several strategies, which gives the best plan or one very close to it for real cut lists. Cutting-stock problems are hard to solve perfectly, so a hand-made plan may sometimes save a board on very long lists.

Disclaimer: Results are estimates for planning and layout only. Check all math yourself and verify with a licensed engineer and your local building department before cutting or building. FramersMath is not a substitute for engineered plans, span tables or code review. See the full disclaimer.