Answer:
[tex]340[/tex]
Step-by-step explanation:
Given: GCF of two numbers is [tex]170[/tex]. neither number is divisible by the other.
To Find: smallest of these two number.
Solution:
As GCF of two numbers is [tex]170[/tex], both number are divisible by [tex]170[/tex].
Prime factor of [tex]170[/tex] [tex]=2\times5\times17[/tex]
multiples of [tex]170[/tex] are [tex]1\times2\times5\times17=170[/tex]
[tex]2\times2\times5\times17=340[/tex]
[tex]3\times2\times5\times17=510[/tex]
GCF of all three multiples is [tex]170[/tex],
Here [tex]340[/tex] and [tex]510[/tex] are the two multiples whose GCF is [tex]170[/tex] and neither is divisible by other
Hence the smallest of two is [tex]340[/tex], the answer is [tex]340[/tex]
