| If \[P={{2}^{3}}\times {{3}^{10}}\times 5\] and \[Q={{2}^{5}}\times 3\times 7,\] then HCF of P and Q is |
A) \[2\cdot 3\cdot 5\cdot 7\]
B) \[3\cdot {{2}^{3}}\]
C) \[{{2}^{2}}\cdot {{3}^{7}}\]
D) \[{{2}^{5}}\cdot {{3}^{10}}\cdot 5\cdot 7\]
Correct Answer: B
Solution :
| Given, \[P={{2}^{3}}\times {{3}^{10}}\times 5\] |
| \[Q={{2}^{5}}\times 3\times 7\] |
| [\[\because \,\,{{2}^{3}}\]and 3 is common factor to both P and O] |
| \[\therefore \] \[HCF={{2}^{3}}\times 3\] |
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