Question

3. Find the HCF by prime factorization method.
a. 54 & 96
4. Find the HCF by division method.
a. 30, 55 & 90​

Answer 1

Answer:

3) The prime factorization of 54 is: 2 x 3 x 3 x 3.

The prime factorization of 96 is: 2 x 2 x 2 x 2 x 2 x 3.

The prime factors and multiplicities 54 and 96 have in common are: 2 x 3.

4) Using Prime Factorization LCM Method

Step: 1

30 = 2 x 3 x 5

55 = 5 x 11

90 = 2 x 3 x 3 x 5

Step: 2

30 = 2 x 3 x 5

55 = 5 x 11

90 = 2 x 32 x 5

Step: 3

LCM(30, 55, 90)

= 32 x 2 x 5 x 11

= 9 x 2 x 5 x 11

= 990