Question

Two numbers both greater than 23 have hcf 23 and lcm 644

Answer 1

Since 644 is divisible by 23, 2 no. can have 23 as HCF and 644 as LCM

Answer 2

Answer:

The numbers are 92 and 161.

Step-by-step explanation:

Given : Two numbers both greater than 23 have hcf 23 and lcm 644.

To find : The numbers?

Solution :

Let the two numbers be 23a & 23b where a and b are co-primes.

LCM x HCF = Product of two numbers

$23a \times 23b = 644 \times 23$

$\Rightarrow ab = 28 = 4 \times7$

The two numbers are

$23a=23(4)=92$

$23b=23(7)=161$

The numbers are 92 and 161.