Question

6. Find the greatest number which will divide 1063 and 1403
leaving the remainder 9 in each case.
1.48
2. 34
3. 40
4. 42

Answer 1

Answer:

Greatest number is 34

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Step-by-step explanation:

In order to make 1063 and 1403 completely divisible by the greatest number, we need to subtract 9 from each term, so

1063-9 = 1054

1403-9 = 1394

Now HCF of  1054 and 1394:

1054 = 2 × 17 × 31

1394= 2 × 17 × 41

HCF = 2× 7

= 34

Well HCF is 34

Hence the greatest number that will divide 1063 and 1403 leaving the remainder 9 in each case is 34.

So the correct answer is 34

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