Question

If p and q are two co-prime number write their HCF and LCM.

Answer 1

Answer:

Step-by-step explanation:

In number theory, two integers a and b are said to be relatively prime, mutually prime, or co-prime  if the only positive integer (factor) that divides both of them is 1. Consequently, any prime number that divides one does not divide the other.

For example, 2 and 3 are two prime numbers. Factors of 2 are 1, 2 and factors of 3 are 1, 3. The only common factor is 1 and hence is co-prime. Any two successive numbers/ integers are always co-prime: Take any consecutive number such as 2, 3 or 3, 4 or 5, 6 and so on; they have 1 as their HCF.

18 and 35 are co-prime.Factors of 18 are 1, 2, 3, 6, 9 and 18. Factors of 35 are 1, 5, 7 and 35. Therefore, 1 is the only common factor of 18 and 35. It means that 18 and 35 are co-prime.

So if p and q are co-prime HCF = 1 and LCM = p*q