A) \[36\]
B) \[144\]
C) \[4\]
D) \[2\]
Correct Answer: A
Solution :
Factors of \[36\] are\[\mathbf{1,}\,\,\mathbf{2,}\,\,\mathbf{3,}\,\,\mathbf{4,}\]\[\mathbf{6,}\,\,\mathbf{9,}\,\,\mathbf{12,}\,\,\mathbf{18}\]and\[\mathbf{36}\]. Factors of\[144\]are\[\mathbf{1,}\,\,\mathbf{2,}\,\,\mathbf{3,}\,\,\mathbf{4,}\,\,\mathbf{6}\] \[8,\,\,\mathbf{9},\,\,\mathbf{12},\,\,16,\,\,\mathbf{18},\,\,24,\,\,\mathbf{36},\,\,48,\,\,72\]and\[144\]. The common factors of \[36\] and \[144\] are \[1,\,\,2,\,\,3,\,\,4,\,\,6,\,\,9,\,\,12,\,\,18\] and \[36\] of which \[36\] is the highest. \[\therefore \]\[H.C.F\]of\[36\]and\[144\]is\[36\].
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