Step 1: Understanding the electromagnetic spectrum.
The electromagnetic spectrum is arranged according to frequency and wavelength. The general order from lowest frequency (longest wavelength) to highest frequency (shortest wavelength) is: radio waves, microwaves, infrared rays, visible light, ultraviolet rays, X-rays, and gamma rays.
Step 2: Comparing the given options.
Radio waves have the longest wavelengths and lowest frequencies among the options listed.
Microwaves have higher frequencies than radio waves but are still much lower than infrared rays.
Infrared rays have higher frequencies than radio waves and microwaves but lower than visible light.
Gamma rays are at the extreme high end of the spectrum, possessing the shortest wavelengths and highest frequencies.
Step 3: Identifying the option with the highest frequency.
From the order of the electromagnetic spectrum, it is clear that gamma rays have the highest frequency among the options given.