Question

1. Show that gcd(1137, -419) = gcd (1137, 419) = gcd (419, 299) = gcd (299,...

1. Show that gcd(1137, -419) = gcd (1137, 419) = gcd (419, 299) = gcd (299, 120)= gcd (120, 59).

Can you use this to compute gcd(1137, -419)?

2. Show that the gcd(n,n+1)=1 for all n∈Z.

3. Calculate gcd(181451, 186623).

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