Question

Find the HCF and LCM of 306 and 54.  Verify that HCF × LCM = Product of the two numbers.​

Answer 1

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Answer:

H.C.F. = 18

L.C.M. = 918

Step-by-step explanation:

Given :

Two numbers 306 and 54

Prime factorization of numbers are as :

306 = 2 × 3 × 3 × 17

54 = 2 × 3 × 3 × 3

Now H.C.F = common factors :

H.C.F = 2 × 3 × 3 = > 18

L.C.M. = 18 × 3 × 17 = 918

Verification :

Products of No. = H.C.F × L.C.M

306 × 54 = 18 × 918

16,524 = 16,524

L.H.S. = R.H.S

Hence verified .

Answer 2

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Find the HCF and LCM of 306 and 54.  Verify that HCF × LCM = Product of the two numbers.

$\huge\red{\underline{{\boxed{\textbf{ANSWER}}}}}$

Given, numbers are 306 and 54.

On prime factorizing, we get

54 = 2 × 3 × 3 × 3

306 = 2 × 3 × 3 × 17

So, HCF = 2 × 3 × 3 = 18

LCM = 2 × 3 × 3 × 3 × 17 = 918

Now, product of two numbers = 306 × 54 = 16524

and product of HCF and LCM = 918 × 18 = 16524

Hence verified.

@HarshPratapSingh