Question

if the lcm of two numbers is 290 and their product is7250 find their hcf

Answer 1

lcm of two numbers =290

Product of two numbers=7250

lcm x hcf=product of two numbers

290 x hcf =7250

hcf =7250/290

hcf=25

Answer 2

Given LCM of two numbers = 290
And the product of the numbers = 7250
We know that 
Product of the LCM and HCF = Product of the numbers
⇒ LCM × HCF = 7250
⇒ 290 × HCF = 7250
⇒ HCF = 7250/290
∴ HCF = 25