Question

Find the greatest number which divides 1628 1736 and 268 leaving remainder 8,11 and 13 respectively.



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Answer 1

Answer:

The greatest numbers which divides 1628,1736 and 268 and leaves the remainder 8,11 and 13 are 203.5,157.818182 and 20.6153846. THE GREATEST NUMBER IS 203.5.

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Answer 2

Answer:

Step 1-

Subtract reminders from the given. number respectively.

•1628 - 8 = 1620

•1736 - 11 = 1725

•268 - 13 = 255

Step 2-

Now we find out HCF of the numbers from first step.

=>For HCF first we find out the factors of the numbers.

• 1620 = 2×2×3×3×5
• 1725 = 3×5×5×23
• 255 = 3×5×17

*now we see which numbers are common in these and the multiple of the number that come out will be the HCF.

So,

The common numbers are 3 and 5.

=> HCF = 3×5

•°•HCF= 15

So the greatest number which divides 1628 1736 and 268 leaving remainder 8,11 and 13 respectively is 15.