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

Question

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

plz give answer in solutions. I will mark you as brainlist ​

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Valentina 1 month 2021-08-19T22:43:39+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-19T22:44:43+00:00

    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.

    pls mark as brainist

    0
    2021-08-19T22:45:35+00:00

    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.

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