 | Jeremiah Day - Algebra - 1820 - 352 pages
...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 MEASURE. The algebraic letters are here supposed to stand for whole numbers. In the demonstration of... | |
 | Silvestre François Lacroix - Arithmetic - 1825 - 394 pages
...till we arrive at a division that leaves no remainder ; the divisor of this division, and consequently the last divisor, will be the greatest common divisor of the two given numbers. See this operation for the two numbers 576 and 252. 252) 576 (2 . 504 72) 252 (3 216... | |
 | Jeremiah Day - Algebra - 1827 - 352 pages
...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 MEASURE. The algebraic letters are here supposed to stand for whole numbers. In the demonstration of... | |
 | Mathematics - 1836 - 488 pages
...common measure. — 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 measure. The binominal theorem. — The index of the leading quantity of the power of a binominal,... | |
 | Silas Totten - Algebra - 1836 - 360 pages
...dividing the last divisor by the last remainder, till the division can be executed without remainder. The last divisor will be the greatest common divisor of the two numbers. Demonstration. — To make the demonstration of this rule general, let any two numbers be... | |
 | Richard W. Green - Arithmetic - 1840 - 300 pages
...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 and... | |
 | James Bates Thomson - Algebra - 1844 - 266 pages
...or more quantities. 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 measure. 196. The greatest common measure of two quantities is not altered by multiplying or dividing... | |
 | James Bates Thomson - Arithmetic - 1846 - 402 pages
...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. Divijing 84 by 70, the remainder is... | |
 | James Bates Thomson - Arithmetic - 1846 - 354 pages
...Divide the greater number by the less ; then the preceding divisor hy 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. Dividing 84 by 70, the remainder is... | |
 | Elias Loomis - Algebra - 1846 - 380 pages
...the following RULE. 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. When the remainders decrease to unity, the given quantities have no common divisor, and are... | |
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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. 
