If the greatest common divisor of two numbers is 42, the least common multiple is 2940, and the sum of the two numbers is 714, then the two numbers are______ .

If the greatest common divisor of two numbers is 42, the least common multiple is 2940, and the sum of the two numbers is 714, then the two numbers are______ .

Because 2940 △ 42 = 70, 70 can be decomposed into two coprime numbers in two cases: 1 and 70, 2 and 35, 7 and 10, 14 and 5, and the sum of these two numbers is 714, so these two numbers are: 42 × 10 = 420, 42 × 7 = 294; so the answer is: 420294