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In [Yan22a], we defined so-called ``log-type" GCD sums and proved the lowerbounds $\Gamma^{(\ell)}_1(N) \gg_{\ell} \left(\log\log N\right)^{2+2\ell}$. Wewill establish the upper bounds $\Gamma^{(\ell)}_1(N)\ll_{\ell} \left(\log \logN\right)^{2+2\ell}$ in this note, which generalizes G\'{a}l's theorem on GCDsums (corresponding to the case $\ell = 0$). This result will be proved by twodifferent methods. The first method is unconditional. We establish sharp upperbounds for spectral norms along $\alpha-$lines when $\alpha$ tends to $1$ withcertain fast rates. As a corollary, we obtain upper bounds for log-type GCDsums. The second method is conditional. We prove that lower bounds for log-typeGCD sums $\Gamma^{(\ell)}_1(N)$ can produce lower bounds for large values ofderivatives of the Riemann zeta function on the 1-line. So from conditionalupper bound for $\left| \zeta^{(\ell)}\left(1+ i t\right)\right|$, we obtainupper bounds for log-type GCD sums.

A note on log-type GCD sums and derivatives of the Riemann zeta function