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" Divide the greater number by the less, and that divisor by the remainder, and so on, always dividing the last divisor by the last remainder, till nothing remain. "
Practical Arithmetic, by Induction and Analysis - Page 125
by Joseph Ray - 1857 - 320 pages
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Adams's New Arithmetic: Arithmetic, in which the Principles of Operating by ...

Daniel Adams - Arithmetic - 1810 - 190 pages
...greater than 32, can do it. Hence the rule .for finding the greatest common divisor of two numbers : Divide the greater number by the less, and that divisor...the last divisor by the last remainder, till nothing remain. The last divisor will be the greatest common divisor required. Note. It is evident, that, when...
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Daboll's Schoolmaster's Assistant, Improved and Enlarged: Being a Plain ...

Nathan Daboll - Arithmetic - 1817 - 252 pages
...their lowest terms. RULE. 1. Find a common measure, by dividing the greater term by the less, and this divisor by the remainder, and so on, always dividing...remainder, till nothing remains; the last divisor is the common measure.* 2. Divide both of the terms of the fraction by the common measure, aud the...
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Daboll's Schoolmaster's Assistant: Improved and Enlarged. Being a Plain ...

Nathan Daboll - Arithmetic - 1818 - 246 pages
...their lowest terms. RULE. 1. Find a common measure, by dividing the greater term by the less, and this divisor by the remainder, and so on, always dividing...remainder, till nothing remains, the last divisor is the common measure.* 2. Divide both of the terms of the fraction by the common measure, and the...
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A Complete System of Theoretical and Mercantile Arithmetic: Comprehending a ...

George G. Carey - Arithmetic - 1818 - 602 pages
...RULE. Divide the greater number by the less, and this divisor by the remainder. Proceed in this manner, always dividing the last divisor by the last remainder, till nothing remains; the last divisor is the greatest common measure. EXAMPLE. Required the greatest common measure of 84 and 144. 84)144(1...
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Staniford's Practical Arithmetic ...: Adapted Principally to Federal Currency

Daniel Staniford - Arithmetic - 1818 - 332 pages
...measure of any two numbers. RULE. Divide the greater number by the lessf and the last divisor by the remainder, till nothing remains ; the last divisor will be the greatest common measure.^) NOTE. A number which can divide several numbers exactly, is called their common measure....
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 3

John Mason Good - 1819 - 694 pages
...term by the less ; then divide the divisor by the remainder, if there be any, and so on continually, always dividing the last divisor by the last remainder, till nothing remains; and then is the last divisor the greatest common measure sought. For a demonstration, see Manning's...
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Daboll's Schoolmaster's Assistant: Improved and Enlarged; Being a Plain ...

Nathan Daboll - Arithmetic - 1820 - 256 pages
...conimon measure, by dividing; the greater term by the less, and this divisor by the remainder, aitd so on, always dividing the last divisor by the last...remainder, till nothing remains ; the last divisor is the common measure.* 2. Divide both of the terras of the fraction by the com* Mini measure, and...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1820 - 352 pages
...quantities, may be found by the following rule ; DIVIDE ONE OF THE QUANTITIES BY THE OTHER, AND THE PRECEDING DIVISOR BY THE LAST REMAINDER, TILL NOTHING REMAINS -, THE LAST DIVISOR WILL BE THE GREATEST COMMON MEASURE. The algebraic letters are here supposed to stand for whole numbers. In the demonstration of...
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Daboll's Schoolmaster's Assistant

Nathan Daboll - Arithmetic - 1825 - 256 pages
...their lowest terms. RULE. 1. Find a common measure, by dividing the greater term by the less, and this divisor by the remainder, and so on, always dividing the last divisor by the last remainder,*Vil I nothing remains ; the last divisor is the common measure.* 2. Divide both of the terras...
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Pike's System of Arithmetic Abridged: To which are Added Appropriate ...

Nicolas Pike, Dudley Leavitt - Arithmetic - 1826 - 214 pages
...two or more numbers. RULE 1. If there be two pumbers only, divide the greater by the less, and this divisor by the remainder, and so on, always dividing...the last divisor by the last remainder, till nothing remain ; then will the last divisor be the greatest common measure required. 2. When there are more...
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