• Greatest Common Factor (GCF) - Saxon Publishers
• Greatest Common Factor (GCF) - Saxon Publishers
• Greatest Common Factor (GCF) - Saxon Publishers
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Name<br />
<strong>Greatest</strong> <strong>Common</strong> <strong>Factor</strong> (<strong>GCF</strong>)<br />
New Calculator Function: gcd(<br />
Example: Find the <strong>GCF</strong> of 6, 9, and 15.<br />
Demonstration<br />
Graphing Calculator Activity<br />
Step 1 To find the <strong>GCF</strong> of 6, 9, and 15, first find the <strong>GCF</strong> of 6 and 9.<br />
Go to the MATH menu by pressing .<br />
TI-83+<br />
TI-73<br />
Press once to go to the NUM<br />
submenu. Select gcd( .<br />
Select gcd( .<br />
Press then .<br />
The screen should display 3.<br />
The <strong>GCF</strong> of 6 and 9 is .<br />
Step 2 Next find the <strong>GCF</strong> of 9 and 15.<br />
Return to the MATH menu by pressing .<br />
TI-83+<br />
TI-73<br />
Return to the NUM submenu by pressing once.<br />
Select gcd( .<br />
Select gcd( .<br />
Press then . The<br />
screen should display 3.<br />
The <strong>GCF</strong> of 9 and 15 is .<br />
Use with Lesson 12, Example 2<br />
4 © Harcourt Achieve Inc. and Stephen Hake. All rights reserved. <strong>Saxon</strong> Math Intermediate 6<br />
2
Name<br />
Step 3 Now find the <strong>GCF</strong> of 6 and 15.<br />
Return to the MATH menu by pressing .<br />
TI-83+<br />
TI-73<br />
Practice<br />
Return to the NUM submenu by pressing once.<br />
Select gcd( .<br />
Select gcd( .<br />
Press then .<br />
The screen should display 3.<br />
The <strong>GCF</strong> of 6 and 15 is .<br />
The <strong>GCF</strong> of 6, 9, and 15 is .<br />
Use your graphing calculator to answer the following questions.<br />
1. Find the <strong>GCF</strong> of 13, 26, and 52.<br />
a. The <strong>GCF</strong> of 13 and 26 is .<br />
b. The <strong>GCF</strong> of 26 and 52 is .<br />
c. The <strong>GCF</strong> of 13 and 52 is .<br />
d. The <strong>GCF</strong> of 13, 26, and 52 is .<br />
Graphing Calculator Activity 2<br />
2. There are 300 students in 6th grade, 350 in 7th grade, and 400 in 8th grade at<br />
a local middle school. The counselors want to group the students so that there<br />
will be an equal number of students from each grade in each homeroom.<br />
a. If the counselors include an equal number of students from each grade in<br />
each homeroom, what is the greatest possible number of homerooms?<br />
(What is the <strong>GCF</strong> of 300, 350, and 400?)<br />
b. How many students from each grade will be in each homeroom?<br />
6th grade 7th grade 8th grade<br />
c. How many students will be in each homeroom?<br />
<strong>Saxon</strong> Math Intermediate 6 © Harcourt Achieve Inc. and Stephen Hake. All rights reserved. 5