Question

If q is a prime number, then what is the HCF nad LCM of q, q², q⁴?

Answer 1

Answer:

HCF = q

LCM = q ^ 4

Step-by-step explanation:

Since q is a prime number, the factors of q are q and 1.

Factors of q ^2 = q, q ^ 2, 1

Factors of q ^ 4 = q, q ^ 2, q ^ 3, q ^ 4, 1

HCF = Product of least powers of common factors = q × 1 = q

LCM = Product of highest powers of common factors = q ^ 4 × 1 = q ^ 4

Answer 2

Answer:q = 1×q

so, hcf of q = 1

hcf of q^2 = q

hcf of q^4 = q^3

Also, lcm of q = q

lcm of q^2 = q^2

lcm of q^4 = q^4

Step-by-step explanation: