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" Divide the greater number by the less, the divisor by the remainder, and thus continue to divide the last divisor by the last remainder until there is no remainder ; the last divisor will be the greatest common divisor. "
The Elements of Algebra - Page 151
by George W. Lilley - 1892 - 402 pages
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Treatise on the elements of algebra

James Bryce - Algebra - 1837 - 322 pages
...55. III. The greatest common measure of two numbers is found by dividing the greater by the less, and the last divisor by the last remainder, until there is no remainder : the last divisor is the measure required. Let a and /, be the quantities whose common measure is required, and let a...
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Higher Arithmetic: Designed for the Use of High Schools, Academies, and Colleges

George Roberts Perkins - Arithmetic - 1841 - 274 pages
...greater by the less, then divide the divisor by the remainder, and thus continue to divide the preceding divisor by the last remainder, until there is no < remainder. The last divisor will be the greatest common measure. Examples. 1. What ia the greatest common measure of 360, and 630 ? OPBRATION....
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An Elementary Treatise on Algebra: For the Use of Students in High Schools ...

Thomas Sherwin - Algebra - 1841 - 314 pages
...greater by the less, and if there is no remainder, the less quantity will be the divisor sought ; but if there is a remainder, divide the first divisor by it, and continue thus to make the preceding divisor the dividend, and the remainder the divisor, until a remainder is...
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An Elementary Arithmetic ...: Serving as an Introduction to the Higher ...

George Roberts Perkins - Arithmetic - 1846 - 266 pages
...deduce this RULE. Divide the greater number by the less, then the less numbtr by the remainder ; thus continue to divide the last divisor by the last remainder,...until there is no remainder. The last divisor will be the greatest common divisor. NOTE. — When there are more than two numbers whoae greatest common divisor...
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The University Arithmetic: Embracing the Science of Numbers, and Their ...

Charles Davies - Arithmetic - 1846 - 370 pages
...and to find it Divide the 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...
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Arithmetic: Designed for Academies and Schools, Uniting the Inductive ...

Charles Davies - Arithmetic - 1847 - 368 pages
...common divisor, Divide the 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...
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Arithmetic: Designed for Academies and Schools, Uniting the Inductive ...

Charles Davies - Arithmetic - 1847 - 368 pages
...common divisor, Divide the 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...
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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ..., Part 1

Joseph Ray - Algebra - 1848 - 252 pages
...polynomial by the less, and if there is no remainder, the less quantity will be the divisor sought. 2d. If there is a remainder, divide the first divisor...divide the last divisor by the last remainder, until a divisor is obtained, which leaves no remainder; this will be the greatest common divisor of the two...
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An Elemtary Arithmetic ...: Serving as an Introduction to the Higher ...

George Roberts Perkins - Arithmetic - 1849 - 346 pages
...deduce this RULE. Divide the greater number by the less, then the less number by the remainder ; thus continue to divide the last divisor by the last remainder,...until there is no remainder. The last divisor will be the greatest common divisor. NOTE. — When there are more than two numbers whose greatest common divisor...
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Higher Arithmetic: Designed for the Use of High Schools, Academies, and ...

George Roberts Perkins - Arithmetic - 1849 - 356 pages
...greater by the less, then divide the divism by the remainder, and thus continue to divide the preceding divisor by the last remainder, until there is no remainder. The last divisor will be the greatest common measure. NOT£ — Where there is no common measure, the last divisor will be 1....
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