GCD Proof of Odd Numbers
38404
Prove $\gcd(a+b, a-b) = 1$ or $2\,$ if $\,\gcd(a,b) = 1$
38295
If $\gcd (a,b) = 1$, what can be said about $\gcd (a+b,a-b)$?
69967
How to prove $\gcd(a^m-b^m,a^n-b^n) = a^{\gcd(m,n)} - b^{\gcd(m,n)} $?
103116
Prove that any odd number can be a leg in a Pythagorean Triple
108450
Prove that $\gcd(a, b) = \gcd(a, b + ma)$?
56423
gcd of power plus one
135086
GCD of two numbers divided by their greatest common divisor is 1
91506
If $\gcd(a,b) = 1$ then $\gcd(a,a + b) = 1$
114796
Direct proof that the product of odd integers is odd
63965
How can I compute the sum of $ {m\over\gcd(m,n)}$?
107914
Expanding GCDs Reasoning: $\gcd(a,c) \cdot \gcd(b,c) = \gcd(ab,bc,ac,cc)$
116970
On the number divisors of a number
34738
Prove that $\gcd(n!+1,(n+1)!+1)=1$
158308
Proving that if $a,b$ are even, then $\gcd(a,b) = 2 \gcd(a/2, b/2)$
55441
Check: For the integers $a,b,c$ show that $\gcd(a,bc)=\gcd(a,\gcd(a,b)\cdot c)$
54359
Odd Primes Problem Proof
137369
Inductive proof of gcd Bezout identity (from Apostol: Math, Analysis 2ed)