Question

12. In finding H.C.F of two numbers by division method the quotients are 2, 2, 3 respectively and the last
divisor is 18. Find the greater number.
1) 126
2) 248
3) 306
4) 364
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Answer 1

Answer:

306

Step-by-step explanation:

The last quotient is 3 and the last divisor is 18, means the last remainder = 18 × 3 = 54

Obviously 54 will also be the second last divisor with 2 as quotient and 18 being the remainder

Hence the second last remainder = 54 × 2 + 18 = 126

Now, obviously 126 will also be the first divisor with 2 as quotient and 54 being the remainder

Hence the other number = 126 × 3 + 54 = 306.

Therefore, the greater number is 306