i. Find the greatest common divisor of 954 and 228 using the Euclidean Algo- rithm. Hence find integers m and n such that 954m + 228n = 12.

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5. (a) i. Find the greatest common divisor of 954 and 228 using the Euclidean Algo-
rithm. Hence find integers m and n such that 954m + 228n = 12.
ii. For the congruence equation 228x = 78 mod 954 how many solutions are there
for EZ and how many for x = Z954?
iii. For the congruence equation 228x = 197 mod 954 how many solutions are
there for x EZ and how many for x € Z954?
Transcribed Image Text:5. (a) i. Find the greatest common divisor of 954 and 228 using the Euclidean Algo- rithm. Hence find integers m and n such that 954m + 228n = 12. ii. For the congruence equation 228x = 78 mod 954 how many solutions are there for EZ and how many for x = Z954? iii. For the congruence equation 228x = 197 mod 954 how many solutions are there for x EZ and how many for x € Z954?
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