 | John Darby (teacher of mathematics.) - 1843 - 236 σελίδες
...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 can be divided without a remainder.... | |
 | James Bates Thomson - 1844 - 272 σελίδες
...common measure of two or more quantities. 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. 196. The greatest common measure of two quantities is not altered by multiplying or dividing either... | |
 | James Bates Thomson - 1844 - 272 σελίδες
...more quantities. Divide one of the quantities by the other, and the preceding divisor by the la-it remainder, till nothing remains ; the last divisor will be the greatest common measure. 196 The greatest common measure of two quantities is nnt altered by multiplying or dividing either... | |
 | Elias Loomis - 1846 - 380 σελίδες
...must be obtained. Hence the following RULE. Divide the greater quantity by the less, and the preceding divisor by the last remainder, till nothing remains...last divisor will be the greatest common measure. When the remainders decrease to unity, the given quantities have no common divisor, and are said to... | |
 | Elias Loomis - 1846 - 376 σελίδες
...be obtained. Hence the following E ULE. Divide the. greater quantity by the less, and the preceding divisor by the last remainder, till nothing remains...last divisor will be the greatest common measure. When the remainders decrease to unity, the given quantities have no common divisor, and are said to... | |
 | George Roberts Perkins - 1847 - 432 σελίδες
...polynomials, which may be effected by this RULE. Divide one of the polynomials by the other, and the preceding divisor by the last remainder, till nothing re-mains...last divisor will be the greatest common measure. This rule may be demonstrated as follows : -• • (51.) Let Л' and n be two polynomials, of which... | |
 | Jeremiah Day - 1847 - 358 σελίδες
...quantities, may be found by the following rule ; DIVIDE ONE OP 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,... | |
 | Jeremiah Day, James Bates Thomson - 1848 - 264 σελίδες
...common measure of two or more quantities. 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. 196. The greatest common measure of two quantities is not altered by multiplying or dividing either... | |
 | Daniel Leach - 1851 - 280 σελίδες
...and 28. 32 and 48. 28 and 126. 42 -and 112. 18 and 27. 27 and 81, 35 and 63, 56 and 84, 32 and 144, RULE. Divide in succession the greater number by the...multiple of those numbers. 1. What is the greatest common taeasure of 720 and 6 12? 612 ) 720 ( 1 612 108 ) 612 540 72 ) 108 ( 1 72 36 ) 72 ( 2 72 The greatest... | |
 | Barnard Smith - 1854 - 368 σελίδες
...remainder, divide the second divisor by this remainder, and so on ; always dividing the last preceding divisor by the last remainder, till nothing remains....The last divisor will be the greatest common measure required. Ex. Required the greatest common measure of 475 and 589. Proceeding by the Rule given above,... | |
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Divide in succession the greater number by the less, and that divisor by the last remainder, till nothing remains. The last divisor will be the greatest common measure. 
