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 x 7 = 63
Hence the greatest number that will divide 445, 572 and 699 leaving remainder 4, 5 and 6 respectively is 63
