Question

What is the GCD of 0.2, 0.04 and 0.16?

• A. 0.08
• B. 0.16
• C. 0.04
• D. 0.2

Answer 1

The correct option is C

0.04

GCD or Greatest Common Divisor of two or more numbers is the greatest number which divides each of them exactly.
We can convert the given decimals to integers by multiplying all of them by 100.
$0.04\times 100=40.2\times 100=200.16\times 100=16$
The factors of 4 are 1, 2, and 4.
The factors of 20 are 1, 2, 4, 5, 10, and 20.
The factors of 16 are 1, 2, 4, 8, and 16.
$\Rightarrow$The GCD of 4, 20, and 16 = 4
$\therefore$ The GCD of 0.04, 0.2, and 0.16 = $\frac{4}{100}=0.04$