ibmkab2009
ibmkab2009 ibmkab2009
  • 07-09-2020
  • Mathematics
contestada

Using prime factorization method , find the HCF
b)18 and 15
c)16 ,32 and 48
e)27, 63 and 54

Respuesta :

jimrgrant1 jimrgrant1
  • 07-09-2020

Answer:

see explanation

Step-by-step explanation:

(b)

18 = 2 × 3 × 3 = 2 × 3²

15 = 3 × 5

The common prime factor = 3

HCF = 3

(c)

16 = 2 × 2 × 2 × 2 = [tex]2^{4}[/tex]

32 = 2 × 2 × 2 × 2 × 2 = [tex]2^{5}[/tex]

48 = 2 × 2 × 2 × 2 × 3 = [tex]2^{4}[/tex] × 3

The common prime factor = [tex]2^{4}[/tex]

HCF = [tex]2^{4}[/tex] = 16

(e)

27 = 3 × 3 × 3 = 3³

63 = 3 × 3 × 7 = 3² × 7

54 = 2 × 3 × 3 × 3 = 2 × 3³

The common prime factor = 3²

HCF = 3² = 9

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