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" ... until nothing remains. The last divisor will be the greatest common divisor. "
Smith and Duke's The American Statistical Arithmetic: Designed for Academies ... - Page 70
by Francis Henney Smith - 1845 - 282 pages
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Arithmetick Theoretically and Practically Illustrated

B. M. Tyler - Arithmetic - 1827 - 308 pages
...Divide the greater number by the less, and the divisor by the remainder. Continue to divide the last divisor by the last remainder until nothing remains...last divisor will be the greatest common divisor, or measure. I 1. What is the greatest common divisor, or meawre of 125 and 2225 ? ». • Operation....
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The Common School Arithmetic: Prepared for the Use of Academies and Common ...

Charles Davies - Arithmetic - 1833 - 284 pages
...greater by the less ; then dividing the divisor by th remainder, and continuing to divide the last divisor by the last remainder until nothing remains....The last divisor will be the greatest common divisor sought. Ex. 3. Find the greatest common divisor of the two numbers 63 and 81. 63)81(1 PROOF. 63 9)63(7...
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Mental and Practical Arithmetic

Charles Davies - Arithmetic - 1838 - 292 pages
...greater by the less, then dividing the divisor by the remainder, and continuing to divide the last divisor by the last remainder until nothing remains....The last divisor will be the greatest common divisor sought. Q. Will the common divisor of two numbers divide their remainder after division ? How do you...
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The American Statistical Arithmetic: Designed for Academies and Schools

Francis Henney Smith - Arithmetic - 1845 - 710 pages
...divisor, we have the following RULE. I. Divide the greater term of the fraction by the less, and this divisor by the remainder, and so on, continuing to...a fraction, how might its reduction to its lowest terras be effected ? What is a common divisor to two or more numbers ? What is their greatest common...
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Arithmetic: Designed for Academies and Schools, Uniting the Inductive ...

Charles Davies - Arithmetic - 1847 - 368 pages
...greater number by the less, and then divide the divisor by the remainder, and continue to divide the last divisor by the last remainder until nothing remains....The last divisor will be the greatest common divisor sought. NOTE. If it be required to find the greatest common divisor of more than two numbers, find...
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Arithmetic: Designed for Academies and Schools, Uniting the Inductive ...

Charles Davies - Arithmetic - 1847 - 368 pages
...greater number by the less, and then divide the divisor by the remainder, and continue to divide the last divisor by the last remainder until nothing remains....The last divisor will be the greatest common divisor sought. NOTE. If it be required to find the greatest common divisor of more than two numbers, find...
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The University Arithmetic: Embracing the Science of Numbers, and Their ...

Charles Davies - Arithmetic - 1850 - 412 pages
...greater number by the less, and then divide the divisor by the remainder^ and continue to divide the last divisor by the last remainder until nothing remains....The last divisor will be the greatest common divisor sought. EXAMPLES. 1. Find the greatest common divisor of 408 and 740. 2. Find the greatest common divisor...
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The American Arithmetic: In which the Principles of Numbers are Explained ...

James Robinson - Arithmetic - 1850 - 342 pages
...greater number by the less, then divide the divisor by the remainder, and continue dividing the preceding divisor by the last remainder until nothing remains; the last divisor will be their greatest common measure. 1. What is the greatest common measure of 36 and 96 ? 36 ) 96 ( 2 The...
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A treatise on the elements of algebra, by G. Ainsworth and J. Yeats

G. Ainsworth - 1854 - 216 pages
...and arranged according to the powers of some common letter, divide the one by the other, and the last divisor by the last remainder, until nothing remains ; the last divisor will be the G. С. М. Or, if there is a remainder incapable of being resolved into common factors, the quantities...
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The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1857 - 452 pages
...the lens, and if there be a remainder divide the preceding divisor by it, and so continue dividing until nothing remains. The last divisor will be the greatest common divisor. NOTE 1. — When the greatest common divisor is required of more than tax numbers, find it of two of...
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