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Asked by khushal305 | 5th Jun, 2009, 05:28: PM

Expert Answer:

1288=[575*2]+138

575=[138*4]+23

138=23*6+0

The step at which the remainder is zero has 23 as the divisor, so the HCF is 23.

Now reverse the steps.

23= 575-[138*4]=575-[1288-(575*2)]*4=575(9)+1288(-4)

Thus we have expressed the remainder 23 in terms of 1288 and 575.

Theother question also can be done by the same method.

 

 

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Answered by  | 9th Jun, 2009, 04:32: PM

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