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" Divide the less number by the remainder, the last divisor by the last remainder, and so on, till nothing remains. The last divisor will be the greatest common divisor sought. "
A Course of Mathematics ...: Designed for the Use of the Officers and Cadets ... - Page 23
by Isaac Dalby - 1806
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Watson's Tutor's assistant; or, Complete school arithmetic

William Watson (of Beverley.) - 1845 - 188 pages
.... To find the greatest common measure of the terms of a fraction, RULE. — Divide the greater term by the less, and the last divisor by the last remainder,...so on till nothing remains, then the last divisor will be the common measure required. EXAMPLE. 1. Required the greatest common measure 162)1080(6 972...
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A Treatise on the Elements of Algebra

James Bryce - 1846 - 352 pages
...the greatest common measure of a and b. Hence, to find the greatest common measure of two numbers, divide 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. Cor. The greatest common measure...
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The United States Arithmetic: Designed for Academies and Schools

William Vogdes - Arithmetic - 1847 - 324 pages
...of two or more numbers. RULE. 1. Divide the greater number Ъу the less, and this divisor ' by the remainder, and so on, till nothing remains ; then the last divisor is the greatest common measure. 2. When there are more than two numbers, find the greatest common measure of two of...
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A Treatise on Elementary and Higher Algebra

Theodore Strong - Algebra - 1859 - 570 pages
...numbers or quantities of the same kind, we haVe the following BULE. Divide the greater number m- quantity by the less, and the last divisor by the last remainder,...so on, till nothing remains, then the last divisor will be the greatest common measure or divisor required. If the greatest common divisor equals 1, the...
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The Progressive Practical Arithmetic: Containing the Theory of Numbers, in ...

Horatio Nelson Robinson - Arithmetic - 1859 - 348 pages
...product under the dividend, and the remainder below. III. Divide the less number by the remainder, the last divisor by the last remainder, and so on, till nothing remains. The last divisor will be the greatest common divisor sought. IV. If more than two numbers be given,...
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The Progressive Higher Arithmetic, for Schools, Academies, and Mercantile ...

Horatio Nelson Robinson - Arithmetic - 1860 - 444 pages
...12 for the denominator of the final term. Hence the following RULE. I. Divide the greater term l>y the less, and the last divisor by the last remainder, and so on, till there is no remainder, 14* L II. Write 1 for the numerator of each term of the continued fraction,...
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New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - Algebra - 1863 - 432 pages
...letter, and let A represent the greater and В the less. Then let us divide the greater by the less, the last divisor by the last remainder, and so on, till nothing remains. If we represent the several quotients by q, q1, q", etc.; and the remainders by R, R', R", etc., the...
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Mathematics for Practical Men: Being a Common-place Book of Principles ...

Olinthus Gregory - 1863 - 482 pages
...the terms of the fraction : it is found thus — Divide the greater of the two numbers by the less : the last divisor by the last remainder, and so on till nothing remains : the last divisor is the greatest common measure required.* Case 2. — To reduce an improper fraction...
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New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - Algebra - 1864 - 444 pages
...letter, and let A represent the greater and B the less. Then let us divide the greater by the less, the last divisor by the last remainder, and so on, till nothing remains. If we represent the several quotients by q, q', q", etc.; and the remainders by R, K , R", etc., the...
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Algebra: Adapted to the Course of Instruction Usually Pursued in the ...

Paul Allen Towne - Algebra - 1865 - 314 pages
...84. To find the greatest common divisor of any two quantities: (1.) Divide one quantity by the other, and the last divisor by the last remainder, and so on till there is no remainder. The last divisor will be the greatest common divisor. (2.) Any factor common...
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