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• 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

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