 The GREATEST COMMON DIVISOR of two or more quantities is the greatest quantity that will divide each of them without a remainder.  University Algebra - Page 50by Webster Wells - 1879 - 444 pagesFull view - About this book
 | James Ryan, Robert Adrain - Algebra - 1824 - 542 pages
...proper frac* tion. § IF. Method of finding the Greatest Common Divisor of two or more Quantities. 130. The greatest common divisor of two or more quantities, is the greatest quantity which divides each of them exactly. Thus, the greatest common divisor of the quantities 16a2i°, 12a24o... | |
 | James Ryan - Algebra - 1824 - 550 pages
...proper fraction'. § II. Method of finding the Greatest Common Divisor of two or more Quantities. 130. The greatest common divisor of two or more quantities, is the greatest quantity which divides each of them exactly. Thus, the greatest common divisor of the quantities 16«363, 12«36<*... | |
 | Elias Loomis - Algebra - 1846 - 380 pages
...divided by their sum. 30 SECTION XV. GREATEST COMMON DIVISOR.— PERMUTATIONS AND COMBINATIONS. (249.) THE greatest common divisor of two or more quantities is the greatest factor which is common to each of the quantities. • PROPOSITION. The greatest common divisor of two... | |
 | Elias Loomis - Algebra - 1846 - 376 pages
...divided ly their sum. 30 SECTION XV. GREATEST COMMON DIVISOR.— PERMUTATIONS AND COMBINATIONS. (249.) THE greatest common divisor of two or more quantities is the greatest factor which is common to each of the quantities. tPROPOSITION. The greatest common divisor of two... | |
 | Elias Loomis - Algebra - 1855 - 356 pages
...SECTION XV. GREATEST COMMON DIVISOR.— CONTINUED FRACTIONS.— PERMUTATIONS AND COMBINATIONS. (249.) The greatest common divisor of two or more quantities is the greatest factor which is common to each of the quantities. THEOREM. The greatest common divisor of two quantities... | |
 | James B. Dodd - Algebra - 1859 - 368 pages
...Of 5a6c+3a2e and 4ac. Of a2x and a2x+cPy. Greatest Common Measure. (63.) The greatest common measure of two or more quantities, is the greatest quantity...that will divide each of them, without a remainder. Thus 3a2 is the greatest common measure of 6a2x-\-3a3y and 3a26 — 6a3cd, since it is the greatest... | |
 | John Fair Stoddard, William Downs Henkle - Algebra - 1859 - 538 pages
...quantities is one that is exactly contained in each of them. (129.) The greatest common measure or greatest common divisor of two or more quantities is the greatest quantity that is exactly contained in each of them. • THEOREM I. (13U.) If a quantity measures another quantity... | |
 | Benjamin Greenleaf - 1863 - 338 pages
...remainder. Hence, any factor common to two or more quantities is a common divisor of those quantities. 96, The GREATEST COMMON DIVISOR of two or more quantities...greatest common divisor of two or more quantities is composed of all the factors common to those quantities. When quantities are prime to each other (Art.... | |
 | Horatio Nelson Robinson - Algebra - 1863 - 432 pages
...Common Divisor of two or more quantities is a quantity which will exactly divide each of them. 98. The Greatest Common Divisor of two or more quantities is the greatest quantity that will exactly divide each of them ; it is composed of all the common prime factors of the quantities. The... | |
 | Benjamin Greenleaf - Algebra - 1864 - 420 pages
...Also, when quantities are prime to each other, they have no common measure greater than unity. 104. The GREATEST COMMON DIVISOR of two or more quantities...that will divide each of them without a remainder. By the greatest of two or more algebraic quantities, it may be remarked, is meant the highest, with... | |
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