Question

Given that LCM(480,672)=3360, find HCF?

Answer 1

We know that 

Product of two numbers is equal to the product of their LCM and HCF

⇒Product of two numbers=LCM×HCF


By implying values,
480×672=3360×HCF                                   [We have to find HCF]
322560=3360×HCF
By substituting 3360 to LHS we get,
 
322560 = HCF
  3360 
 96=HCF

We can prove this by using the formula:-

480×672=3360×96
322560=322560

So the LCM of 480 and 672 is 3360 
                                 &
      the  HCF of 480 and 672 is 96