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Activity Discussion Math HCF and LCM

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• # HCF and LCM

Posted by 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.

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

Member
June 23, 2023 at 1:03 pm
1

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 Ã— 1 + 44</div><div>48 = 44 Ã— 1 + 4</div><div>44 = 4 Ã— 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
0

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.

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