Question

in The group z, find (8,14)
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Answer 1

Answer:

Since 8 and 14 are multiples of 2, <8,14> is contained in <2>. On the other hand, since 2=1⋅14+(−2)⋅8, 2∈<8,14>, and thus <2> is contained in <8,14>. Therefore, <8,14>=<2>. Let l=gcd(m,n).

Answer 2

Answer:

Explanation:

a. <2>

b. <1>

c. <3>

d. <gcd(m, n)>

e. <3>