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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 26
# Folio 15r, page id 00068239:0029
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Dato aliquo numero invenire ax sit primitivus,  et si non est quinam sint eru
divisores opus ea eam rem.
habemus sequensi probermate.
Invenire
divisorem
maximum communem
per Logarithmos.
Primum pei Logarithmos inveniatur residuum divisionis
quod ita fiet: Duorum numerorum qua Quaeratur differentia
Logarithmorum divisoris et dividendi. Ea si reperitur in Tabula
Logarithmorum, nullus est residuus. Sin  minus, sumatur
Logarithmus tabulae proxime minor. Huic addatur Logarithmus
divisoris. Summae numerus Logarithimicae respondens
numerus subtrahatur a dividendo residun 
hujus subtractionis, erit residuus divisionis quae situs
Demonstratio ex operatione patet. Symbolice ita
ex primenus, sit
D D divisiendus S divis D loga
rithmus dividendi
IS logarithmus divisoriis
9 logarithmus quotientis.
qquotiens
r. residuus.
Y aequ. 1D d e + l. logarithmus aliquo alio
proxime minor in tabula repertus
est alicuius logarithmi numerus.
aequalio:
Y aequ.
Y aequ.
2
nI. vel n+
Unde orietur haec
 D - n 10+
-
d
Hinc ut obiter dicam colligi potest primo aspectu tu
memorabile. Si idem et sit residuus eiusdem derterric
dividendi et diversorum divisorum, S et (5) fo
et t tD- 15) adeaque et
2
aequales inter se. Jam Bl D. bd est
ut d est aequi q. e
roo nt D et nt
derum quia nE
seiidem
 qu’aequ
n +d+ n9 aequ. v
e
 et quotiens 
aliand habetur hoc modo: q aequ.  D id est numerus intege
proxime minor sive in tabula reperibilis vel qaequ. nt lD- 15
nam e n lD- 15 aequ.
C
n 
in hoc signo +. illud notandum.
ideo esse a aqu. b.
etsi sit
Corterum c
ta aequ +b non
Nota si se differentia
d
aequ.