-
Notifications
You must be signed in to change notification settings - Fork 1
/
9f389966-4855-430c-a1b5-14f9f62319b4.html
79 lines (79 loc) · 5.3 KB
/
9f389966-4855-430c-a1b5-14f9f62319b4.html
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
<h4>Find the Greatest Common Factor</h4>
<p>The greatest common factor (GCF) of two or more expressions is the largest expression that is a factor of all the expressions.</p>
<p>Find the greatest common factor of \(54\) and \(36\).</p>
<p><strong>Step 1 -</strong> Factor each number into primes.</p>
<p> Factor \(54\) and \(36\).</p>
<p><img alt class="img-fluid atto_image_button_text-bottom" height="75" role="presentation" src="https://k12.openstax.org/contents/raise/resources/dbdce4b927eaeae986cdc09c401506122fa16e0a" width="100"><br></p>
<p><img alt class="img-fluid atto_image_button_text-bottom" height="75" role="presentation" src="https://k12.openstax.org/contents/raise/resources/a1472de0432d7cf72c2fc19b9a6b967a8f46a921" width="100"><br></p>
<p><strong>Step 2 - </strong>List the factors. In each column, circle the common factors.</p>
<p> Circle the \(2\), \(3\), and \(3\) that are shared by both numbers.</p>
<p><img alt class="img-fluid atto_image_button_text-bottom" height="64" role="presentation" src="https://k12.openstax.org/contents/raise/resources/8f822f0f9db188c79211c359e641676e4cb5d1b8" width="157"></p>
<p><strong>Step 3 -</strong> Bring down the common factors that all the expressions share.</p>
<p> Bring down the \(2\), \(3\), and \(3\).</p>
<p> GCF \(=2 \cdot 3 \cdot 3\) </p>
<p><strong>Step 4 -</strong> Multiply the factors.</p>
<p> Multiply the common factors \(2\), \(3\), and \(3\).</p>
<p> GCF \(=18\)</p>
<p> The GCF of \(54\) and \(36\) is \(18\).</p>
<h4>Try It: Find the Greatest Common Factor</h4>
<br>
<div class="os-raise-ib-cta" data-button-text="Solution" data-fire-event="Reveal1" data-schema-version="1.0">
<div class="os-raise-ib-cta-content">
<p>Find the greatest common factor (GCF) of \(84\) and \(56\).</p>
</div>
<div class="os-raise-ib-cta-prompt">
<p>Write down your answer. Then select the <strong>solution</strong> button to compare your work. </p>
</div>
</div>
<div class="os-raise-ib-content" data-schema-version="1.0" data-wait-for-event="Reveal1">
<p>Here’s how to find the GCF.</p>
<p><strong>Step 1 -</strong> Factor each number into primes. </p>
<p> Factor \(84\) and \(56\). </p>
<p><img alt class="img-fluid atto_image_button_text-bottom" height="75" role="presentation" src="https://k12.openstax.org/contents/raise/resources/6653a7a285694ce64fb37a014472ae0cc3aac65d" width="101"><br></p>
<p><img alt class="img-fluid atto_image_button_text-bottom" height="75" role="presentation" src="https://k12.openstax.org/contents/raise/resources/f57d628443d1695e0f4e996b3ce629fd82980c37" width="100"><br></p>
<p><strong>Step 2 -
</strong>List the factors. In each column, circle the common factors. </p>
<p> Circle the \(2\), \(2\), and \(7\) that are shared by both numbers. </p>
<p><img alt class="img-fluid atto_image_button_text-bottom" height="84" role="presentation" src="https://k12.openstax.org/contents/raise/resources/68595e4ac75d627f3f4fb08c3776f4344bdbc938" width="205"></p>
<p><strong>Step 3 -</strong> Bring down the common factors that all the expressions share. </p>
<p> Bring down the \(2\), \(2\), and \(7\). </p>
<p> GCF \(=227\)</p>
<p><strong>Step 4 -</strong> Multiply the factors. </p>
<p> Multiply the common factors \(2\), \(2\), and \(7\). </p>
<p> GCF \(=28\)</p>
<p> The GCF of \(84\) and \(56\) is \(28\). </p>
</div>
<br>
<h4>Check Your Understanding</h4>
<div class="os-raise-ib-pset" data-button-text="Check" data-content-id="4e412b14-1aa4-414a-b9ad-b91ea40f431a" data-fire-learning-opportunity-event="eventnameY" data-fire-success-event="eventnameX" data-retry-limit="0" data-schema-version="1.0">
<!--Q#-->
<div class="os-raise-ib-pset-problem" data-content-id="c513f2f5-07ca-44f3-8426-5c72e0ff79ee" data-problem-type="multiplechoice" data-solution="\(24\)" data-solution-options='["\\(24\\)", "\\(12\\)", "\\(36\\)", "\\(48\\)"]'>
<div class="os-raise-ib-pset-problem-content">
<p>Which is the greatest common factor of \(96\) and \(72\)?</p>
</div>
<div class="os-raise-ib-pset-correct-response">
<p>Correct! Check yourself: The GCF is the product of the common factors, \(2 \cdot 2 \cdot 3\).</p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>Try again. Take a moment to think about what you learned in the mini-lesson review. </p>
</div>
<div class="os-raise-ib-pset-attempts-exhausted-response">
<p>The correct answer is \(24\). </p>
</div>
</div>
<!--END QUESTION.-->
<!--Do not edit below line.-->
<div class="os-raise-ib-pset-correct-response">
<!-- INSERT ANY VALID HTML HERE -->
</div>
<div class="os-raise-ib-pset-encourage-response">
<!-- INSERT ANY VALID HTML HERE -->
</div>
</div>
<br>
<h4>Videos</h4>
<p>Watch the following video to learn more about finding the greatest common factor of two integers.</p>
<p><strong>Khan Academy: Greatest common factor explained</strong></p>
<div class="os-raise-d-flex-nowrap os-raise-justify-content-center">
<div class="os-raise-video-container"><iframe allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture" allowfullscreen frameborder="0" src="https://www.youtube-nocookie.com/embed/jFd-6EPfnec;&rel=0" title="Greatest common factor explained | Factors and multiples | Pre-Algebra | Khan Academy"></iframe></div>
</div>