Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The total number of 3-digit numbers, whose greatest common divisor with 36 is 2, is______.
Text Solution
Verified by ExpertsThe correct answer is:
150
(150)
36 = 2x2x3x3
Number should be odd multiple of 2 and does not having factor 3 and 9
Odd multiple of 2 are
102, 106, 110, 114......998 (225 no.)
No. of multiples of 3 are
102, 114, 126.......990 (75 no.)
Which are also included multiple of 9
Hence,
Required = 225 - 75 = 150
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