---
title: To cut two lengths into equal pieces with nothing left, the piece mu… — The longest equal pieces · tree and pragmatics
description: To cut two lengths into equal pieces with nothing left, the piece must divide both lengths; the longest such piece is the greatest common divisor. Who acts: piece, longest such piece. A sentence of the lesson «The longest equal pieces» of the lessons course of Mova's primary school with its dependen
---

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# The longest equal pieces, sentence 0

<!-- .ven lang=en -->
To cut two lengths into equal pieces with nothing left, the piece must divide both lengths; the longest such piece is the greatest common divisor.

<!-- .vintro -->
**Who acts:** piece, longest such piece · **What happens:** cut, leave, divide, be · **To what, where:** two lengths, equal pieces, lengths, greatest common divisor

<!-- .vabout -->
This is a sentence of the lesson «The longest equal pieces» of the lessons course of Mova's primary school. The page gives its syntax tree — a dependency tree in the style of Universal Dependencies — and its pragmatics clause by clause: who acts (piece, longest such piece), what happens, when and where, as Mova's frames read it from the tree.

## The tree {#tree}

```conllu
# sent_id = school:lessons:188-longest-equal-pieces-gcd.lesson:0
# text = To cut two lengths into equal pieces with nothing left, the piece must divide both lengths; the longest such piece is the greatest common divisor.
# source = school lesson (ours)
# course = lessons
# lesson = 188-longest-equal-pieces-gcd.lesson
# annotation = Mova annot: Rust (en) → Haiku 5.5 (medium, Batches API) patches; gates UD 2.18; agreed by treeagree rules (Stanza, Trankit, spaCy trf): R5-strong ×2, R6-punct-agree ×1
1	To	to	PART	TO	_	2	mark	_	_
2	cut	cut	VERB	VB	VerbForm=Inf	15	advcl	_	_
3	two	two	NUM	CD	NumForm=Word|NumType=Card	4	nummod	_	_
4	lengths	length	NOUN	NNS	Number=Plur	2	obj	_	_
5	into	into	ADP	IN	_	7	case	_	_
6	equal	equal	ADJ	JJ	Degree=Pos	7	amod	_	_
7	pieces	piece	NOUN	NNS	Number=Plur	2	obl	_	_
8	with	with	ADP	IN	_	10	case	_	_
9	nothing	nothing	PRON	NN	Number=Sing|PronType=Neg	2	obl	_	Agree=R5-strong|Haiku=10:compound
10	left	leave	VERB	VBN	Tense=Past|VerbForm=Part|Voice=Pass	9	acl	_	Agree=R5-strong|Haiku=7:nmod|HaikuPos=NOUN:NN:Number=Sing
11	,	,	PUNCT	,	_	15	punct	_	_
12	the	the	DET	DT	Definite=Def|PronType=Art	13	det	_	_
13	piece	piece	NOUN	NN	Number=Sing	15	nsubj	_	_
14	must	must	AUX	MD	VerbForm=Fin	15	aux	_	_
15	divide	divide	VERB	VB	VerbForm=Inf	0	root	_	_
16	both	both	DET	DT	PronType=Tot	17	det	_	_
17	lengths	length	NOUN	NNS	Number=Plur	15	obj	_	_
18	;	;	PUNCT	,	_	27	punct	_	_
19	the	the	DET	DT	Definite=Def|PronType=Art	22	det	_	_
20	longest	long	ADJ	JJS	Degree=Sup	22	amod	_	_
21	such	such	ADJ	JJ	Degree=Pos	22	amod	_	_
22	piece	piece	NOUN	NN	Number=Sing	27	nsubj	_	_
23	is	be	AUX	VBZ	Mood=Ind|Number=Sing|Person=3|Tense=Pres|VerbForm=Fin	27	cop	_	_
24	the	the	DET	DT	Definite=Def|PronType=Art	27	det	_	_
25	greatest	great	ADJ	JJS	Degree=Sup	27	amod	_	_
26	common	common	ADJ	JJ	Degree=Pos	27	amod	_	_
27	divisor	divisor	NOUN	NN	Number=Sing	15	parataxis	_	_
28	.	.	PUNCT	.	_	15	punct	_	Agree=R6-punct-agree|Haiku=2:punct
```

## Pragmatics {#pragmatics}

<!-- .note -->
No stored speech act for this sentence.

<!-- .fr -->
| # | verb | tense, mood | who | what, whom | to whom | where | when | other | roles by |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 1 | **cut** | to-infinitive | the piece *not said here* | two lengths |  | equal pieces |  | nothing *obl* | vn build-26.1-1 «NP V NP.material PP.product»: agent=Agent length=Material into piece=Product |
| 2 | **leave** | participle |  |  |  |  |  |  | vn escape-51.1-1-1 «NP V»: agent=Theme |
| 3 | **divide** | must | the piece | both lengths |  |  |  |  | vn multiply-108-1 «NP V NP»: agent=Agent length=Theme |
| 4 | **is a** | present | the longest such piece | the greatest common divisor |  |  |  |  | tree rules |

<!-- .note -->
One row per clause the reader finds. «not said here»: a role filled from the clause above. «roles by»: a VerbNet class and frame when one fits the verb, else the reader's rules on the tree.

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**Licence: [CC BY-SA 4.0](https://creativecommons.org/licenses/by-sa/4.0/)**, as the whole of Mova corpus 0.4, of which this treebank (the agreed school, `mova-school-agreed-en.conllu`) is part. The lessons were written for Mova's primary school. Sentence `school:lessons:188-longest-equal-pieces-gcd.lesson:0`.

**The tree:** Mova annot: Rust (en) → Haiku 5.5 (medium, Batches API) patches; gates UD 2.18; agreed by treeagree rules (Stanza, Trankit, spaCy trf): R5-strong ×2, R6-punct-agree ×1. **The frames** are read from the tree by Mova's frames reader (`prag`) when this page is built, the lesson read in order, so a pronoun may be resolved from an earlier sentence.

See the [release 0.4](https://md.mova.elamur.ai/free/en/releases/0.4/).

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