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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. "
The Elements of Arithmetic, Oral and Written: Designed for Pupils in the ... - Page 121
by Horatio Nelson Robinson - 1877 - 208 pages
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A Course of Mathematics ...: Designed for the Use of the Officers ..., Volume 2

Isaac Dalby - Mathematics - 1806 - 526 pages
...Reject the simple divisors in both terms of the fraction, then., Divide the greater by the less, and the last divisor by the last remainder, and so on till nothing remains ; then the last divisor is the greatest ommon measure, as in Arithmetic. (40. Arith.) Thus, to reduce...
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Mathematics: Compiled from the Best Authors, and Intended to be ..., Volume 1

Samuel Webber - Mathematics - 1808 - 466 pages
...the dimensions of some letter, as is shown in division. 2. Divide the greater term by the less, and the last divisor by the last remainder, and so on till nothing remain ; then the divisor last used will be the common measure required. % N0TE. All the letters or...
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A New and Complete System of Arithmetick: Composed for the Use of the ...

Nicolas Pike - Algebra - 1808 - 470 pages
...the dimensions of some letter, as was shewn in division. 2. Divide the greater term by the less,and the last divisor by the last remainder, and so on, till nothing remain, and the divisor last used, will be the common measure required. Note. All the letters or figures,...
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A Course of Mathematics: For the Use of Academies as Well as Private Tuition

Charles Hutton - Mathematics - 1812 - 620 pages
...find tht Greatest Common Measure of the Terms of a Fraction. DIVIDE the greater term by the less, and the last divisor by the last remainder, and so on till nothing remains ; then the divisor last used will be the common measure required ; just the same as in common numbers....
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An Elementary Treatise on Algebra, in Theory and Practice: With Attempts to ...

John D. Williams - Algebra - 1840 - 634 pages
...quantity which has the highest power by the other, whether it be the numerator or denominator ; and divide the last divisor by the last remainder, and so on till nothing remains ; the last divisor will be the greatest common measure : but if such a divisor cannot be found, the fraction has no common...
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A Practical System of Algebra in Theory and Practice in Two Parts: With a ...

John D. Williams - Algebra - 1840 - 216 pages
...quantity which has the highest power by the other, whether it be the numerator or denominator ; and divide the last divisor by the last remainder, and so on till nothing remains ; the last divisor will be the greatest common measure : but if such a divisor cannot be found, the fraction has no common...
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Elements of Fractional Arithmetic

George Lees - 1843 - 86 pages
...the common rule. 91)154(1 91 63)91(1 63 28)63(2 56 7)28(4 28 RULE. Divide the greater by the less, the last divisor by the last remainder, and so on...remains ; the last divisor is the greatest common measure. 91 The terms of the fraction — - being both divided by 7, expresses it 154 13 in its lowest...
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The practical arithmetic

John Darby (teacher of mathematics.) - 1843 - 236 pages
...given vulgar fraction to its lowest terms. RULE. — Divide the greater number by the less, and this divisor by the last remainder, and so on, till nothing remains ; the last divisor will be the greatest common measure, or the greatest number, by which both the numerator and denominator...
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Watson's Tutor's assistant; or, Complete school arithmetic

William Watson (of Beverley.) - 1845 - 188 pages
...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, and so on till nothing remains, then the last divisor will be the common measure required. EXAMPLE. 1. Required the greatest common...
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Practical Arithmetic, Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - Arithmetic - 1846 - 402 pages
...greatest common divisor of two numbers. Divide the greater number by the less ; then the preceding divisor by the last remainder, and so on, till nothing remains. The last divisor will be the greatest common divisor. 7. What is the greatest common divisor of 70 and 84 ? Operation....
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