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Question
Which part of the given diagram represents the common factors of 165, 42 and 30.
Which part of the given diagram represents the common factors of 165, 42 and 30.
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Solution
The correct option is A
The given figure shows a representation of the factors of 30, 42 and 165.
Factors of 30 = 1, 2 , 3 , 5 , 6 , 10 , 15 , 30
Factors of 42= 1 , 2 , 3 , 6 , 7 , 14 , 21 , 42
Factors of 165=1 , 3 , 5 , 11 , 15 ,33 , 55 , 165
Region 'C' belongs to the common factors.
∴ Common factors of 30 , 42 and 165 = 1 and 3
The given figure shows a representation of the factors of 30, 42 and 165.
Factors of 30 = 1, 2 , 3 , 5 , 6 , 10 , 15 , 30
Factors of 42= 1 , 2 , 3 , 6 , 7 , 14 , 21 , 42
Factors of 165=1 , 3 , 5 , 11 , 15 ,33 , 55 , 165
Region 'C' belongs to the common factors.
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