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## Answers

__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__LCM=product of highest power of each factor involved in the no.

HCF=product of smallest power of each common factor

so,lcm is always the multiple of hcf

but,in this case,it's not possible as 175 is not the multiple of hcf