Real numbers
Grade Class 10
Question:
<p>The HCF of 95 and 152, is</p>
<p style="display:inline">57</p>
<p style="display:inline">19</p>
<p style="display:inline">1</p>
<p style="display:inline">38</p>
Step-by-Step Solution
Key Concept: To find the HCF, express each number as a product of prime factors and multiply the lowest powers of the prime factors common to all numbers.
<p>Using the factor tree for 95, we have:<br />
<img alt="" data-imgur-src="PlZyzkE.png" src="https://media-mycbseguide.s3.amazonaws.com/images/imgur/PlZyzkE.png" style="width: 150px; height: 78px;" /><br />
Using the factor tree for 152, we have:<br />
<img alt="" data-imgur-src="9DGMSIz.png" src="https://media-mycbseguide.s3.amazonaws.com/images/imgur/9DGMSIz.png" style="width: 200px; height: 142px;" /><br />
Therefore,<br />
<span class="math-tex">$95=5 \times 19$</span><br />
<span class="math-tex">$152=2^{3} \times 19$</span><br />
HCF (95, 152) = 19</p>
Correct Answer: B