The hcf of two numbers is 23 and then lcm is 1449, if one of the number is 207 then find the other.

2 thoughts on “The hcf of two numbers is 23 and then lcm is 1449, if one of the number is 207 then find the other.”

1. [tex]\huge\fbox\red{Answer=161}[/tex]

   let the two no. be a and b.

   Given:

   HCF =23 and LCM =1449

   We know that:–

   a×b=hcf×lcm

   207×b=23×1449

   [tex]b = \frac{23 \times 1449}{207 } \\ = \frac{33327}{207} \\ \\ = 161.[/tex]

   So the answer is 161

   For checking:–

   if we find the HCF of 207 and 161=23

   if we find the LCM of 207 and 161=1449

   so our answer is correct.

   Reply

2. [tex]\sf{\huge{\underline{\green{Given :-}}}}[/tex]

   • The hcf of two numbers is 23 and then lcm is 1449, One of the number is 207 .

   [tex]\sf{\huge{\underline{\green{To\:Find :-}}}}[/tex]

   • The other number.

   [tex]\sf{\huge{\underline{\green{Answer :-}}}}[/tex]

   According to the question ,

   • The hcf of two numbers is 23 .

   • The lcm is 1449 .

   • One of the number is 207.

   Let the other numbers be x .

   One of the number is 207.

   We have to find the value of x .

   We know that,

   H.C.F × L.C.M. = a × b

   ➝ 23 × 1449 = 207 × b

   ➝ 33327 = 207 × b

   ➝ 33327/207 = b

   ➝ 161 = b

   The other number is 161 .

   Reply