Fuzzy clustering aims to produce clusters that take into account the possible membership of each dataset point in a particular cluster. Fuzzy C-Means Clustering Core and Reduct is a fuzzy clustering method is a Fuzzy C-Means Clustering method that has been optimized using the reduction of Core and Reduct dimensions. The method studied is highly dependent on the distance function used. As a further in-depth study, this study was compiled to see the performance of the Fuzzy C-Means Clustering Core and Reduct using various distance functions. We aim to see how consistent the results of this method are across various distance functions and find the best distance function. The seven distance functions are applied to the same dataset. The seven distances are the Euclidean, Manhattan, Minkowski, Chebyshev, Minkowski-Chebyshev, Canberra, and Averages distances. We use UCI Machine Learning datasets for this research. The quality of the clustering results is compared through several measures. Accuracy, Silhouette score, and Davies Bouldin Index are used as internal measurements. The results of Fuzzy C-Means Core and Reduct clustering on all distance functions have significantly decreased computational load. Accuracy and purity values can be maintained with values above 80%. There was an increase in the value of the Silhouette Coefficient Score and a decrease in the Davies Bouldin Index after the application of dimension reduction. This means the quality of the clustering results can be maintained. The distance with the best evaluation result is the Euclidean distance. This method runs consistently across all tested distance functions.