The compression of the color images has many applications in most of the mobile technologies. Reducing the time taken for file transfer is most important in all of the mobile applications. A compression process should reduce the number of bytes in the images without reducing the quality of the image. A compression method is proposed that compress and decompress the input color image efficiently. The color images were preprocessed using median filter. This will reduce the noises (unwanted pixels) in the input image. For compression we are combining several schemes to produce better compression results and compress the image with high compression ratio. The preprocessed color image is compressed using DCT. The DCT is most commonly employed in all of the compression schemes, mainly in JPEG compression. A discrete cosine transform expresses a finite sequence of data points in terms of a sum of cosine functions oscillating at different frequencies. Zigzag process is applied to the obtained DCT coefficients. The zigzag process will exploits the number of zeroes in the DCT coefficients. The zigzag applied DCT coefficients are then decomposed using Quad tree Decomposition. Encoding is applied to the Quad tree Decomposed image using Fractal method and Run length Encoding method. The compressed image is then decompressed by reversing the whole process to the original color image. Finally the performance of the method is measured by calculating Compression Ratio, PSNR value. The compression and the decompression process employed here is more efficient since it compress the input image with high compression ratio and decompress the image with less distortions which produces high PSNR value.