Question

নীচের সংখ্যাগুলি 1 এবং মৌলিক উৎপাদকে বিশ্লেষণ করে গ. সা. গু. খুঁজি
(a) 22, 44 (b) 54, 72 (c) 27, 64 (d) 36, 30 (e) 28, 35, 49
(f) 30, 72, 96 (g) 20.শূন্য ছাড়া সংখ্যা বসাই]​

Answer 1

Answer: calculating a number's HCF via prime factorization

[Hint: Select the common and the lowest power of the common to find HCF.]

Step-by-step explanation: (a) 22, 44

                                       22 = 2 × 11

                       44 = 2 × 2 × 11 = 2² × 11

                  HCF(22, 44) = 2 × 11 = 22

                     (b) 54, 72

                   54 = 2 × 3 × 3 × 3 = 2 × 3³

               72 = 2 × 2 × 2 × 3 × 3 = 2³ × 3²

               HCF(54, 72) = 2 × 3² = 2 × 9 = 18

                        (c) 27, 64

               27 = 3 × 3 × 3 = 3³

         64 = 2 × 2 × 2 × 2 × 2 × 2 = 2⁸

          HCF(27, 64) = 1

                      (d)36, 30, 35

           36 = 2 × 2 × 3 × 3 = 2² × 3²

                 30 = 2 × 3 × 5

                35 = 5 × 7

                      HCF(36, 30, 35) = 1

                          (e)21, 28, 49

                        21 = 3 × 7

                28 = 2 × 2 × 7 = 2² × 7

                   49 = 7 × 7

           HCF(21, 28, 49) = 7

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