(7) Using the Euclidean algorithm find the multiplicative inverse of 253 mod 600 in Z600-

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(7) Using the Euclidean algorithm find the multiplicative inverse of 253
mod 600 in Z600.
Transcribed Image Text:(7) Using the Euclidean algorithm find the multiplicative inverse of 253 mod 600 in Z600.
Expert Solution
Step 1

a=251,  n=600.

Consider

600=2 . (253)+ 94

253=2 . (94)+ 65

94 = 1 . (65)+29

65=2. (29)+ 7

29= 4 (7)+ 1

 

Now,

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