Question

What is the greatest common divisor of 0.28 and 0.105?

• A. 0.007
• B. 0.035
• C. 0.028
• D. 0.105

Answer 1

The correct option is B

0.035

The 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 both of them by 1000.
$0.28\times 1000=280$
$0.105\times 1000=105$
280 = $2^3\times 5\times 7$

105 = $3\times 5\times 7$
$\Rightarrow$ HCF of 280 and 105 = $5\times 7$ = 35
$\therefore$ The HCF of 0.28 and 0.105 = $\frac{35}{1000}=0.035$.