Question

If lcm (480,672)=3360 find hcf (480,672)

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

Answer 2

Answer:

HCF (480,672) = 96

Step-by-step explanation:

Given

LCM (480,672)=3360

To find,

HCF (480,672)

Recall the formula

LCM × HCF =  Product of two numbers

Solution:

Let HCF of 480 and 672  be 'x'

Product of the two numbers = 480 × 672 = 322560

LCM × HCF = 3360x

Substituting the values in the formula

3360x = 322560

x = $\frac{322560}{3360}$ = 96

∴HCF (480,672) = 96

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