Question

can 2numbers have 15 as their hcf and 175 as their lcm.give reasons

Answer 1

No ,2 numbers cannot have HCF as 15 and LCM as 175 .
Because LCM>HCF and HCF of 2 numbers should divide the LCM completely.
Here , the 1st criteria is fulfilled but the 2nd criteria is not.
Since 175/15=35/3= 11 2/3 ∉ N.
175 is not completely divisible by 15.
Hence
2 numbers cannot have HCF as 15 and LCM as 175