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		<title>Find the greatest number which on dividing 1661 and 2045, leaves a remainder of 10 and 13 respectively ?</title>
		<link>https://www.wikitechy.com/interview-questions/lcm-and-hcf/find-the-greatest-number-which-on-dividing-1661-and-2045-leaves-a-remainder-of-10-and-13-respectively/</link>
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		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 17:48:26 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1842</guid>

					<description><![CDATA[Answer : B . 127]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">Find the greatest number which on dividing 1661 and 2045, leaves a remainder of 10 and 13 respectively ?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 91</p>
</div>
<div class="col-sm-6">
<p>B. 127</p>
</div>
<div class="col-sm-6">
<p>C. 137</p>
</div>
<div class="col-sm-6">
<p>D. 140</p>
</div>
</div>
</div>
</div>
<h3 id="answer-b-127"><b>Answer : </b>B . 127</h3>
<div class="subheading">
<h2 id="explanation">Explanation:</h2>
</div>
<div class="Content">
<div class="hddn">
<p>In this type of question, we need to calculate the HCF, trick is,<br />
HCF (1661 – 10) and (2045 -13)<br />
= HCF (1651, 2032)<br />
= 127</p>
</div>
</div>
]]></content:encoded>
					
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			<slash:comments>0</slash:comments>
		
		
			</item>
		<item>
		<title>The LCM of two positive no’s is 168 and their product is 504. what is the difference in their squares ?</title>
		<link>https://www.wikitechy.com/interview-questions/lcm-and-hcf/the-lcm-of-two-positive-nos-is-168-and-their-product-is-504-what-is-the-difference-in-their-squares/</link>
					<comments>https://www.wikitechy.com/interview-questions/lcm-and-hcf/the-lcm-of-two-positive-nos-is-168-and-their-product-is-504-what-is-the-difference-in-their-squares/#respond</comments>
		
		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Tue, 17 Aug 2021 17:26:37 +0000</pubDate>
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		<guid isPermaLink="false">https://www.wikitechy.com/interview-questions/?p=1835</guid>

					<description><![CDATA[Answer : D. 135...]]></description>
										<content:encoded><![CDATA[<div class="TextHeading">
<div class="hddn">
<p class="color-pink">The LCM of two positive no’s is 168 and their product is 504. what is the difference in their squares?</p>
<div class="row">
<div class="col-sm-6">
<p>A. 175</p>
</div>
<div class="col-sm-6">
<p>B. 216</p>
</div>
<div class="col-sm-6">
<p>C. 9</p>
</div>
<div class="col-sm-6">
<p>D. 135</p>
</div>
</div>
</div>
</div>
<h3 id="answer-d-135"><b>Answer : </b>D. 135&#8230;</h3>
<p>504 = 2*2*2*3*3*7 = 8*3*3*7 = 24*21<br />
168 = 2*2*2*3*7<br />
It means 3 will come in both the numbers as 3 is coming once in LCM but coming as 9 in product.<br />
so possible numbers are 24 and 21.</p>
<p>Now the difference of the square of these numbers is a^2-b^2 = (a+b)(a-b)<br />
= (24+21)(24-21)<br />
= 45(3)<br />
= 135</p>
<div class="text-center row"></div>
]]></content:encoded>
					
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		<title>How to find LCM of two Numbers in C ?</title>
		<link>https://www.wikitechy.com/interview-questions/c/how-to-find-lcm-of-two-numbers-in-c/</link>
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		<dc:creator><![CDATA[Editor]]></dc:creator>
		<pubDate>Mon, 12 Jul 2021 21:04:03 +0000</pubDate>
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					<description><![CDATA[Answer : The LCM of two numbers a and b is the smallest positive integer that is perfectly divisible...]]></description>
										<content:encoded><![CDATA[<h2 id="to-find-lcm-of-two-numbers-in-c" class="color-pink" style="text-align: justify;">To Find LCM of Two Numbers in C</h2>
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<ul>
<li>The LCM of two numbers a and b is the smallest positive integer that is perfectly divisible by both a and b (without a remainder). For example: The LCM of 72 and 120 is 360.</li>
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<h2 id="sample-code" class="color-blue" style="text-align: justify;">Sample Code</h2>
<div class="code-embed-wrapper"> <div class="code-embed-infos"> </div> <pre class="language-c code-embed-pre line-numbers"  data-start="1" data-line-offset="0"><code class="language-c code-embed-code">#include &lt;stdio.h&gt; <br/>// Recursive function to return gcd of a and b<br/>int gcd(int a, int b)<br/>{<br/>// Everything divides 0<br/>    if (a == 0 || b == 0)<br/>        return 0;<br/>// Base case<br/>    if (a == b)<br/>        return a;<br/>// a is greater<br/>    if (a &gt; b)<br/>        return gcd(a-b, b);<br/>    return gcd(a, b-a);<br/>}<br/>// Function to return LCM of two numbers<br/>int lcm(int a, int b)<br/>{<br/>    return (a*b)/gcd(a, b);<br/>}<br/>// Driver program to test above function<br/>int main()<br/>{<br/>    int a = 10, b = 28;<br/>    printf(&quot;LCM of %d and %d is %d &quot;, a, b, lcm(a, b));<br/>    return 0;<br/>}</code></pre> </div>
<h2 id="output" class="color-blue" style="text-align: justify;">Output</h2>
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<figure class="highlight"><div class="code-embed-wrapper"> <div class="code-embed-infos"> </div> <pre class="language-c code-embed-pre line-numbers"  data-start="1" data-line-offset="0"><code class="language-c code-embed-code">LCM of 10 and 28 is 140</code></pre> </div></figure>
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