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P Pankaj Sanodiya
Since the number is divisible by 12, it will also be divisible by its factors i.e., 1, 2, 3, 4, 6, 12. Clearly, 1, 2, 3, 4, and 6 are numbers other than 12 by which this number is also divisible.

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P Pankaj Sanodiya
Factors of 5=1,5  Factors of 12=1,2,3,4,6,12 As the common factor of these numbers is 1, the given two numbers are coprime and the number will also be divisible by their product, i.e. 60, and the factors of 60=1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.

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P Pankaj Sanodiya
(a) 18 and 35  Factors of 18=1,2,3,6,9,18  Factors of 35=1,5,7,35  Common factor =1  Therefore, the given two numbers are co-prime.     (b)15 and 37  Factors of 15=1,3,5,15  Factors of 37=1,37  Common factors =1  Therefore, the given two numbers are co-prime.    (c) 30 and 415 Factors of 30=1,2,3,5,6,10,15,30  Factors of 415=1,5,83,415  Common factors =1,5  As these numbers have a common factor...

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P Pankaj Sanodiya
Multiples of 3 = 3,6,9,12,15…  Multiples of 4 = 4,8,12,16,20…  Common multiples = 12,24,36,48,60,72,84,96

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P Pankaj Sanodiya
(a) 6 and 8  Multiple of 6=6,12,18,24,30…  Multiple of 8=8,16,24,32…… common multiples =24,48,72    (b) 12 and 18  Multiples of 12=12,24,36,78  Multiples of 18=18,36,54,72 3 common multiples = 36,72,108

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P Pankaj Sanodiya
(a) 4,8,12  Factors of 4=1,2,4  Factors of 8=1,2,4,8  Factors of 12=1,2,3,4,6,12  Common factors =1,2,4    (b) 5,15, and 25  Factors of 5=1,5  Factors of 15=1,3,5,15  Factors of 25=1,5,25  Common factors =1,5

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P Pankaj Sanodiya
  (a) 20 and 28 Factors of 20=1,2,4,5,10,20  Factors of 28=1,2,4,7,14,28  Common factors =1,2,4     (b) 15 and 25 Factors of 15=1,3,5,15  Factors of 25=1,5,25  Common factors =1,5   (c) 35 and 50    Factors of 35=1,5,7,35  Factors of 50=1,2,5,10,25,50  Common factors =1,5   (d) 56 and 120 Factors of 56=1,2,4,7,8,14,28,56  Factors of 120=1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120  Common factors =1,2,4,8
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