 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 Treatise on Algebra - Page 54by Elias Loomis - 1868 - 384 pagesFull view - About this book
 | Bewick Bridge - Algebra - 1818 - 254 pages
...Rule for finding the greatest common measure of two numbers. "• Divide the greater by the lesser, and the preceding divisor by " the last remainder, till nothing remains ; the last divisor is " the, greatest common measure." To find the greatest common measure of three. numbers, a, l, с... | |
 | 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.... | |
 | Jeremiah Day - Algebra - 1820 - 352 pages
...of two 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...REMAINS -, THE LAST DIVISOR WILL BE THE GREATEST COMMON MEASURE. The algebraic letters are here supposed to stand for whole numbers. In the demonstration of... | |
 | Bewick Bridge - Algebra - 1821 - 284 pages
...this Rule for finding the greatest common measure of two numbers; " Divide the greater by the lesser, and the preceding divisor by " the last remainder, till nothing remains ; the last divisor is " the greatest common measure." To find the greatest common measure of three numbers, a, b, с ;... | |
 | Jeremiah Day - Algebra - 1827 - 352 pages
...of two quantities, may be found by the following rule ; DIVIDE ONE OF THE QUANTITIES BY THE OTHER, AND THE PRECEDING DIVISOR BY THE LAST REMAINDER, '...REMAINS ; THE LAST DIVISOR WILL BE THE GREATEST COMMON MEASURE. The algebraic letters are here supposed to stand for whole numbers. In the demonstration of... | |
 | Mathematics - 1836 - 488 pages
...infinitesimal. To find the greatest common measure. — Divide one of the quantities by the other, and the preceding divisor by the last remainder, till...remains : the last divisor will be the greatest common measure. The binominal theorem. — The index of the leading quantity of the power of a binominal,... | |
 | Benjamin Peirce - Algebra - 1837 - 302 pages
...same with that of any divisor and its dividend, or with that of the given quantities. 45. Corollary. When the remainders decrease to unity, the given quantities have no common divisor,^ and are said to be incommensurable or prime to each other. • EXAMPLES. 1. Find the greatest common... | |
 | Benjamin Peirce - Algebra - 1837 - 300 pages
...45. Corollary. When the remainders decrease to unity, the given quantities have no common divisor, and are said to be incommensurable or prime to each other. EXAMPLES. ' 1. Find the greatest common divisor of 1825 and 1995. Solution. 35 30 45 ^ Kl, 5th Rem. 3 10 10 5, 6th... | |
 | Benjamin Peirce - Algebra - 1837 - 300 pages
...-same with that of any divisor and its dividend, or with that of the given quantities. 45. Corollary. When the remainders decrease to unity, the given quantities have no common divisor, and are said to be incommensurable or prime to each other. EXAMPLES. 1. Find the greatest common divisor... | |
 | Jeremiah Day - Algebra - 1839 - 354 pages
...quantities, may be found by the following rule ; DIVIDE ONE OF THE QUANTITIES BY THE OTHER, AND THK PRECEDING DIVISOR BY THE LAST REMAINDER, TILL NOTHING...REMAINS ; THE LAST DIVISOR WILL BE THE GREATEST COMMON MEASURE. *. >.-.. i... :,...,,,t| \ -, _ , The algebraic letters are here supposed to stand for whole... | |
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