Thailand
Write down the expression that gives the products of 9 numbers which have the following properties:
- The GCD/HCF of each pair of numbers in that group is a
- The LCM of the 9 numbers is b
Answer:
a8 × b
- The property that relates the HCF and LCM of two numbers to their product is:
GCD × LCM = First number × Second number - Now we have 9 numbers, and the GCD of each pair of numbers is different.
This means their product will be = Product of GCD of each pair × LCM
= a × a × a × a × a × a × a × a × b
= a8 × b
