Find answers, ask questions, and connect with our
community around the world.

Activity Discussion Math HCF and LCM

Tagged: 

  • HCF and LCM

    Posted by Ayush on June 23, 2023 at 1:43 am

    Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

    Aditi replied 1 year, 1 month ago 3 Members · 2 Replies
  • 2 Replies
  • Aditi

    Member
    June 23, 2023 at 1:03 pm
    Helpful
    Up
    1
    Down
    Not Helpful
    ::

    We can start by finding the differences between consecutive pairs of these numbers and find their GCD.<div>
    </div><div>The differences are:</div><div>91 – 43 = 48</div><div>183 – 91 = 92</div><div>
    </div><div>Now, let’s find the GCD of 48 and 92:</div><div>92 = 48 × 1 + 44</div><div>48 = 44 × 1 + 4</div><div>44 = 4 × 11 + 0</div><div>
    </div><div>Since we have obtained a remainder of 0, we can conclude that the GCD of 48 and 92 is 4.</div><div>
    </div><div>Therefore, the greatest number that will divide 43, 91, and 183 and leave the same remainder in each case is 4.</div>

  • Anurag

    Member
    June 23, 2023 at 5:24 am
    Helpful
    Up
    0
    Down
    Not Helpful
    ::

    Here, we need to find differences between the given numbers.

    The differences between the given numbers are:

    91 – 43 = 48

    183 – 91 = 92

    183 – 43 = 140

    Now, let’s find the Highest Common Factor of these differences (48, 92, 140) is:

    48 = 2 * 2 * 2 * 2 * 3

    92 = 2 * 2 * 23

    140 = 2 * 2 * 5 * 7

    HCF = 2 * 2 = 4

    Answer: The greatest number that will divide 43,91 and 183 is 4.

For Worksheets & PrintablesJoin Now
+