The new numbers after subtracting remainders are:

445-4 = 441

572-5 = 567

699-6 = 693

Prime factors of 441= 3 × 3 × 7 × 7

Prime factors of 567 = 3 × 3 × 3 × 3 × 7

Prime factors of 693 = 3 × 3 × 7 ×11

Therefore HCF of 441, 567 and 693 is: 3 x 3 x7 = 63

Hence the greatest number that will divide 445, 572 and 699 leaving remainder 4, 5 and 6 respectively is 63