You got it! In fact the value for the gyromagnetic ratio of 1H is 42.576 MHz/T and for 13C is 10.705 MHz/T. So, as you can see γ1H/γ13C is practically 4.

This is the reason why 13C precesses at 1/4 of the proton's frequency.

Check this discussion:

https://www.researchgate.net/post/why_13C_NMR_is_done_at_lower_frequency_as_compared_to_1H_NMR

Many thanks Dear Fernández for your clarification.

Dear VenkatRamani thank you for your valuable help.

It is because of Larmour frequency of the mentioned nuclei for a given magnetic field.

Thank you Dr. Özgür Alver.