Page 168 - New Medley 5 Semester 1
P. 168

Solution:           Here,  we  need  to  find  the  HCF  of  numbers  72  and  132.
                                   Using division method,


                                   72 132 1
                                       –72

                                         60 72 1
                                            –60

                                            12 60 5
                                               –60

                                                 0


                                   Thus, HCF of 72 and 132 = 12

                                   Hence, the maximum 12 apples can be put in each row.

               Example 10:  Three kinds of biscuits are bought for  `8, `12 and `15

                                   each. Find the least amount of money by which we can
                                   buy an exact number of biscuits of each kind.


               Solution:           Here, we have to find the LCM of 8, 12 and 15. Using the
                                   common division method,


                                   ∴ LCM = 2 × 2 × 3 × 2 × 5 = 120


                                   Thus, we can buy each kind of biscuits in an exact number
                                   worth `120.

                                                        EXERCISE 3.6




                A.  Complete the following table.

                       S.No.      First Number Second Number                        HCF                   LCM

                         1.              12                                           6                   156

                         2.                                    63                     7                   315

                         3.              54                    90                    18


                         4.             150                   250                                         750

                         5.             144                   216



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