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What is the HCF of 0.1, 0.01, 0.001, 0.0001 and 0.00001?

What is the HCF of 0.1, 0.01, 0.001, 0.0001 and 0.00001? Correct Answer 0.00001

Given:

The given numbers are 0.1, 0.01, 0.001, 0.0001 and 0.00001

Formula used:

HCF of fraction = (HCF of numerators)/(LCM of denominators)

Calculation:

Convert the given decimals into the fraction

∴ The terms will be 1/10, 1/100, 1/1000, 1/10000 and 1/100000

Now, by using the formula

∴ HCF of (1/10, 1/100, 1/1000, 1/10000 and 1/100000) = (HCF of (1, 1, 1, 1 and 1))/(LCM of (10, 100, 1000, 10000 and 100000))

⇒ HCF of (1/10, 1/100, 1/1000, 1/10000 and 1/100000) = 1/100000 = 0.00001

Hence, option (4) is correct

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