Question

Find the HCF and LCM of $3.6,0.24$ and $1.2$

• A. $1.2$ & $1.44$
• B. $0.24$ & $3.6$
• C. $2.4$ & $2.4$
• D. $0.24$ & $3.0$

Answer 1

Answer: (B)

$0.24$ & $3.6$

We first convert the given decimals $3.6,0.24,1.2$ into like decimals as $3.60,0.24,1.20$

Now, expressing each of the numbers without the decimals as the product of primes we get:

$360=2\times 2\times 2\times 3\times 3\times 524=2\times 2\times 2\times 3120=2\times 2\times 2\times 3\times 5$

Now, HCF of $360,24$ and $120$ is $2\times 2\times 2\times 3=24$

Therefore, HCF$(3.6,0.24,1.2)=0.24$ (taking 2 decimal places)

And LCM of $360,24$ and $120$ is $2\times 2\times 2\times 3\times 3\times 5=360$

Therefore, LCM$(3.6,0.24,1.2)=3.6$ (taking 2 decimal places)

Hence, the HCF and LCM of $3.6,0.24,1.2$ is $0.24$ and $3.6$ respectively.