Question

if the H.C.F of two numbers is 23 and their L.C.M is 1449 and if on ofthe number and s 207, the other number is?​

Answer 1

Answer:161

Step-by-step explanation:

Let the required number be x.

we know that H.C.F×L.C.M= first number × second number

23×1449=207×x

33,327=207×x

x=33,327/207

x=161

therefore 161 is the required answer.

I hope it helps you

Answer 2

Given :-

• HCF = 23

• LCM = 1449

• One number = 207

To find :-

• The other number = ?

Solution :-

Let the other number be x

we know that,

$\small\green{\bigstar}\:\:{\underline{\boxed{\bf\pink{Product\:of\:HCF\:and\:LCM=product\:of\:two\: number}}}}$

$\rm\dashrightarrow\:23\times\:1449=207\times\:x$

$\rm\dashrightarrow\:33327=207x$

$\rm\dashrightarrow\:\cancel\dfrac{33327}{207}=x$

$\rm\dashrightarrow\:161=x$

$\rm\dashrightarrow\:x=161$

Hence,the other number will be 161.

⚽ More Information,

✪ HCF:-HCF refers to the highest common factor.It is the largest or greatest factor common to any two or more given Natural number.

✪ LCM:-LCM refers to the lowest common multiple.It is the smallest or least common multiple of any two or more given Natural numbers.