This paper presents two new iterative multiuser detection algorithms for spectrally efficient frequency division multiple access continuous phase modulation in additive white Gaussian noise. The detectors are derived from the sum-product algorithm and the factor graph framework, performing approximate maximum a posteriori (MAP) bit detection. A factor graph of the actual multiuser detection problem is considered, rather than only factor graphs of the individual single user detection problems combined with ad-hoc inter-user interference cancellation. The practical implementation of the detectors is based on the assumption that a suitable set of sum-product messages can be approximated by a Gaussian distribution. This methodology allows to considerably reduce the computational complexity and memory size requirements as compared to a straightforward application of the sum-product rules. The proposed algorithms further succeed in achieving a good error performance.