To find the greatest number dividing 390, 495, and 300 without remainder, we need the HCF. Factorizing: 390 = 2 × 3 × 5 × 13, 495 = 3 × 3 × 5 × 11, 300 = 2 × 2 × 3 × 5 × 5. The common factors are 3 and 5, so HCF = 3 × 5 = 15. 5 is too small (common but not greatest). 25 and 35 are not factors of all three numbers.