Question 58

If LCM of two numbers 390 and 420 is 5460, then the HCF of two numbers is:

Solution

As we know that $$First\ number\times\ Second\ number\ =\ LCM\times\ HCF$$

If LCM of two numbers 390 and 420 is 5460

$$390\times\ 420\ =\ 5460\times\ HCF$$

HCF = $$\frac{(390\times420)}{5460}$$

= $$\frac{163800}{5460}$$

= 30

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