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Q.

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.

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a

126

b

248 

c

306

d

364

answer is C.

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Detailed Solution

H.C.F of 5 numbers by division method the Quotients

Last Quotient is 3 last division is 18

Dividend=Divisor×Quotient+Remainder               =18×3=54

New remainder is 18, Now new divisor = 54, New Quotient is 2

So new dividend =54×2+18

=126

Second new divisor = 126 and new Quotient = 2,  remainder = 54

newdividend=126×2+54

                              =306

So the Numbers are 126, 306

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