Question

Find the smallest three digit number that divides 229 and 568 leaving 3 in each case

Answer 1

your answer is so easy the answer is 229

Answer 2

Answer:

The required smallest three digit number that divides 229 and 568 leaving 3 in each case is 113.

Step-by-step explanation:

To find : The smallest three digit number that divides 229 and 568 leaving 3 in each case?  

Solution :  

In each case it leaves a remainder 3 so we subtract 3 from the numbers.

229-3=226

568-3=565

Now, We find the HCF of 226 and 565.

$226=2\times 113$

$565=5\times 113$

$HCF(226,565)=113$

Therefore, The required smallest three digit number that divides 229 and 568 leaving 3 in each case is 113.