It is known that the sum of the greatest common divisor and the least common multiple of two composite numbers is 143______ .

It is known that the sum of the greatest common divisor and the least common multiple of two composite numbers is 143______ .


The least common multiple = the greatest common divisor × their unique divisor, so: 143 = 11 + 11 × 2 × 2 × 3 = 13 + 13 × 2 × 5, when the greatest common divisor is 11, the total numbers that meet the requirements are: 33 and 44; when the greatest common divisor is 13, the total numbers that meet the requirements are: 26 and 65; answer: the two total numbers are 33 and 44, or 26 and 65. So the answer is: 33 and 44, or 26 and 65



If the greatest common factor of two numbers is 1 and their least common multiple is 91, then the sum of the two numbers is the largest______ .


91 = 7 × 13, so if the greatest common factor of two numbers is 1 and their least common multiple is 91, then such two numbers are: 7 and 13, 1 and 7 × 13 = 91, their sum is: 7 + 13 = 20, 1 + 91 = 92, 20 < 92, so the maximum sum of these two numbers is: 92; so the answer is: 92



It is known that the greatest common factor of two numbers is 1 and the least common multiple is 143


Because 143 = 11 × 13 = 1 × 143
So these two numbers are 11 and 13
Or 1 and 143



If the sum of the greatest common factor and the least common multiple of two two digit numbers is 143, then these two numbers are () and () or () and ()


143=11×13
The least common multiple must be a multiple of the greatest common divisor
143=11×13
=(10+1)×13
=11×(12+1)
The two numbers are (130) and (13) or (11) and (132)