Question

find the HCF prime factoriation method 84and144​

Answer 1

Answer:

prime factorization of 84 and 144.

84=2 × 2×3×7

=2² × 3 × 7

144=2 × 2 × 2 × 2 × 3 × 3

=2⁴ × 3²

here the highest power of 2 is 4 lowest power of 2 is 2.

Also,

highest power of 3 is 2.

lowest power is 1.

HCF= Number with small power = 2² × 3 =12

HCF of 84 and 144 =12

Here, 7¹ or 7 is the highest power here.

Hence, while calculating LCM we will also include 7 in it .

LCM = Numbers with highest power =2⁴ × 3² × 7=1008

LCM = 1008

Hope it helps ☺️

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