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



If the greatest common factor of number a and number B is 7, the least common multiple of number a and number B is 42, and number a is 21, then number B is 1(


Make up
7.14.21.28.35.42
Only 14 are satisfied



The greatest common factor of the two numbers is 15, and the least common multiple is 90. These two numbers are ()
A. 15 and 90B. 30 and 60C. 45 and 90


Because 90 △ 15 = 6, 6 can be decomposed into two coprime numbers in two cases, i.e. 2 and 3, 1 and 6. So these two numbers have several cases: 15 × 1 = 15, 15 × 6 = 902 × 15 = 30, 3 × 15 = 45. A: these two numbers are 15 and 90 or 30 and 45



The greatest common factor of a and B is 6, and the least common multiple is 90. If a is 30, then B is (), if B is 30, then a is (),


If the number a is 30, then the number B is 18; if the number B is 30, then the number a is 18



A = 2 × 3 × 5 × 7, B = 2 × 3 × 11, the greatest common factor of a and B is______ The least common multiple is______ .


A = 2 × 3 × 5 × 7, B = 2 × 3 × 11, the greatest common factor of a and B is 2 × 3 = 6, the least common multiple is 2 × 3 × 5 × 7 × 11 = 2310; so the answer is: 62310



A = 2 × 3 × 5 × 7, B = 2 × 3 × 11, the greatest common factor of a and B is______ The least common multiple is______ .


A = 2 × 3 × 5 × 7, B = 2 × 3 × 11, the greatest common factor of a and B is 2 × 3 = 6, the least common multiple is 2 × 3 × 5 × 7 × 11 = 2310; so the answer is: 62310



As mentioned above, the number a is seven times of the number B. the greatest common factor of a and B is (), and the least common multiple is ()


The number a is 7 times of the number B. the greatest common factor of a and B is (b), and the least common multiple is (a)
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A = 2 × 3 × 5 × 7, B = 2 × 3 × 11, the greatest common factor of a and B is______ The least common multiple is______ .


A = 2 × 3 × 5 × 7, B = 2 × 3 × 11, the greatest common factor of a and B is 2 × 3 = 6, the least common multiple is 2 × 3 × 5 × 7 × 11 = 2310; so the answer is: 62310



The sum of the greatest common factor and the least common multiple is 72. What are the numbers a and B?
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The number a is five times of the number B. their greatest common factor is the number B and their least common multiple is the number a,
And 72
Number B: 72 (1 + 5) = 12
Number a 72-12 = 60
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The greatest common factor of the two numbers is 15, and the least common multiple is 90. These two numbers are ()
A. 15 and 90B. 30 and 60C. 45 and 90


Because 90 △ 15 = 6, 6 can be decomposed into two coprime numbers in two cases, i.e. 2 and 3, 1 and 6. So these two numbers have several cases: 15 × 1 = 15, 15 × 6 = 902 × 15 = 30, 3 × 15 = 45. A: these two numbers are 15 and 90 or 30 and 45