how to find the Hcf of 84 and 144
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Lets do the 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 = Numbers 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
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