Question

if a=b×c+0, [where a, b, c belong to natural numbers], then find the HCF of a and b.

Answer 1

Answer:

9.450

Step-by-step explanation:

Break down 450 into primes : 2x5x5x3x3. Group these in a way such that they are co prime to each other. You will get LCM as 450.  

Say I group as 2,5,3 and 5,3 LCM becomes 30 as they are not coprime. What about 2,3,3 and 5,5? 18 and 25 are coprime. Yes but their HCF is not 9. It's 1. Now multiply 25 by 9 as 18 can already divide by 9. you get 225 and 18.Now hcf is 9 and LCM is 18. Then why not make 225 more big by multiplying by 2 ? No as your 18 has 2 divisible, your HCF will not be 9 anymore. It will be 18.

Now make grouping 9 and 50.by same reasoning you'll get 9,450