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" Divide the greater quantity by the less, and the preceding divisor by the last remainder, till nothing remains ; the last divisor will be the greatest common measure. "
A Theoretical and Practical Arithmetic ... - Page 45
by Daniel Leach - 1857
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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. EXAMPLES....
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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...LAST DIVISOR WILL BE THE GREATEST COMMON MEASURE. The algebraic letters are here supposed to stand for whole numbers. In the demonstration of the rule,...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1827 - 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...LAST DIVISOR WILL BE THE GREATEST COMMON MEASURE. The algebraic letters are here supposed to stand for whole numbers. In the demonstration of the rule,...
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A Practical System of Algebra: Designed for the Use of Schools and Private ...

Peter Nicholson - Algebra - 1831 - 326 pages
...numerator or denominator j and divide the last divisor by the last remainder, and so on continually 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 measure. CO Find the greatest common...
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The Tutor's Assistant: Being a Compendium of Practical Arithmetic, for the ...

Francis Walkingame - 1833 - 204 pages
...by this process, divide the greater term by the less, and that divisor by the remainder, and so on till nothing remains. The last divisor will be the greatest common measure ; by which divide both terms of the fraction, and the quotients will be the hrvest terms. (1) Reduce...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...find the greatest common measure. — Divide one of the quantities by the other, and the preceding divisor by the last remainder, till nothing remains...last divisor will be the greatest common measure. The binominal theorem. — The index of the leading quantity of the power of a binominal, begins in...
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An Arithmetical Guide: In which the Principles of Numbers are Inductively ...

Richard W. Green - Arithmetic - 1840 - 300 pages
...number by the less, and then divide the divisor by the remainder; and thus continue dividing the last divisor by the last remainder, till nothing remains. The last divisor will be the greatest common divisor. To find the common divisor of more than two numbers, find first for two ; and then for another...
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An Elementary Treatise on Algebra, in Theory and Practice: With Attempts to ...

John D. Williams - Algebra - 1840 - 634 pages
...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 measure. Having found the greatest...
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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
...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 measure. Having found the greatest...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1841 - 362 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 .^ASURE. The algebraic letters are here supposed to stand for whole numbers. In the demonstration of...
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