What will be the greatest number? If

What will be the greatest number that divides 1023 and 750 leaving remainders 3 and 2 respectively?

  1. 65
  2. 86
  3. 68
  4. 76
Monis Rasool Professor Asked on 3rd June 2015 in Maths.
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1 Answer(s)

Answer: (3) 68
Explanation:-

First number  = 1023
Remainder =3
Then, new number = 1023 – 3 = 1020

Second number = 750
Remainder = 2
Then, new number = 750 – 2 = 748

The HCF of 1020 and 748
1020 = 4 x 15 x 17
748 = 4 x 11 x 17
Common factors = 4 x 17 = 68

Thus, the HCF of 1020 and 748 is 4 x 17 = 68

Hence, the answer is 68.

Anurag Mishra Professor Answered on 3rd June 2015.
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