The annual dose conversion factors of gross a count rate and their errors for arbitrary Th and U contents and the Th/U weight ratio covering the entire range 0≤Th/U ≤∞ were calculated. The results show that the error appearing in the final TL age estimate will be±5.1% to 8.3% for 0≤Th/U≤∞ and only ±2.5% to ±4.1% for 1.1≤Th/U≤9.5 when the Th/U ratio is not determined but only the gross a count rate is measured.