Question

For each pair of numbers, verify that their product=( HCF×LCM ) (i) 87, 145

Answer 1

hope this helps u

given

87,145

to prove

product of two number = hcf * lcm

solution

first hcf we will find by eculids division lemma

  145 = 87*1+58

              87= 58*1+29

                     58=29*2+0

                         hcf = 29

lcm

         5)145  , 87

           3) 29 , 87

                  29)29, 29

                        1,1

                 lcm  = 5*3*29

                         =  435

we known that

         product of two numbers = hcf* lcm

                 87*145             = 435* 29

                   12615              =  12615

it has been verified