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Find the greatest number which can divide 78, 230, and 682 leaving remainders 3, 5, and 7 respectively
please don't give faltu answer
and please tell me with full explanation
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Whenever we divide any number, we get a quotient and a remainder........
Dividend=Quotient*Divisor + Remainder
Of we pick up 78 then 3 should be the remainder which means 78-3 or 75 should be a perfect Q*R
(perfect Q*R is a multiple of our answer)
Similarly we subtract 5 from 230 which gives 225
And subtracting 7 from 682 gives 625
Now we have to find HCF of these three
So we get 25(refer to the pic)
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the above picture is the correct answer
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