Answer:

HCF of the given number is 15 and LCM of the given number is 600.

Step-by-step explanation

Given number are 120 and 75

We need to find the HCF and LCM of the given number i.e. 120 and 75 by the Common division method.

In the common division method, we write the number in a horizontal line separated by commas and then first we divide both numbers by a common prime number to find HCF and to find LCM we first divide by common factor but when number left for which common prime factor no possible then we individual divide each factor by a prime number.

HCF = 5 × 3 = 15

LCM = 5 × 3 × 5 × 2 × 2 × 2 = 600

Therefore, the HCF of the given number is 15, and the LCM of the given number is 600.

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