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" Find a common measure, by dividing the greater term by the less, and this divisor by the remainder, and so on, always dividing the last divisor by the last remainder, till nothing remains; the last divisor is the common measure.* 2. Divide both of the... "
Arithmetic on the Productive System: Accompanied by a Key and Cubical Blocks - Σελίδα 117
των Roswell Chamberlain Smith - 1841 - 311 σελίδες
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Rudiment: Treatise on Arithmetic, with Key, Τόμος 2

J. R. Young - 1854 - 228 σελίδες
...divisor a new dividend ; then make the second remainder a divisor, and the preceding divisor a dividend, and so on, always dividing the last divisor by the last remainder till the remainder disappears, or becomes 0. The divisor which thus leaves no remainder is the G. c. M....

Arithmetic on the Productive System: Accompanied by a Key and Cubical Blocks

Roswell Chamberlain Smith - 1856 - 334 σελίδες
...must contain 12 exactly once more ' 12)84=7 than 7213. The number 12 then is a common divisor of 72 and 84, and since 84 is only 12 more than 72, it is...common divisor of 495 and 585. • 495)585(1 Proof. 495 45)49 5 = 11 90)495(5 45)58 5=13 450 19. The last divisor is 45, and Gr. com. divi. 45)90(2 it leaves...

Practical Arithmetic, by Induction and Analysis

Joseph Ray - 1857 - 348 σελίδες
...3. What is the GCD of 9 and 24? Ans. 3. Eule II. — Divide the greater number by the less, and thai divisor by the remainder, and so on, always dividing...remainder, till nothing remains; the last divisor will be the greatest common divisor. NOTE. — To find the GCD of more than two numbers, first find...

Adams's Improved Arithmetic: Arithmetic, in which are Combined the Analytic ...

Daniel Adams - 1861 - 452 σελίδες
...There is another way of finding the greatest common divisor sometimes practised ; it is as follows : I. Divide the greater number by the less, and that divisor...the last divisor by the last remainder, till nothing remain. The last divisor will be the greatest common divisor required. II. When the numbers are more...

A Theoretical and Practical Arithmetic: Designed for Common Schools and ...

Daniel Leach, William Draper Swan - 1861 - 344 σελίδες
...When the numbers are large, — RULE. Divide the greater number by the less, and continue to divide the last divisor by the last remainder, till nothing remains. The last divisor will be the greatest common measure. 70. This rule depends upon the principle illustrated in (AnT....

Rudimentary Arithmetic for the Use of Schools and Self-instruction

James Haddon - 1862 - 358 σελίδες
...once, divide the greater term by the loss, and the divisor by the remainder; and so on, dividing each divisor by the last remainder till nothing remains. The last divisor is the number by which, if the numerator and denominator of the fraction be divided, the lowest term will...

First book of arithmetic for the use of schools. [With] Key. High-school ed ...

Ireland commissioners of nat. educ - 1865 - 184 σελίδες
...once, divide the greater term by the less, and the divisor by the remainder; and so on, dividing each divisor by the last remainder till nothing remains. The last divisor is the number by which, if the numerator and denominator of the fraction be divided, the lowest term will...

Practical Arithmetic, by Induction and Analysis

Joseph Ray - 1857 - 358 σελίδες
...Bought. 2. What is the GCD of 14 and 35? Ans. 7. 3. What is the GCD of 9 and 24? Ans. 3. Rule II.— Divide the greater number by the less, and that divisor...remainder, till nothing remains; the last divisor will be the greatest common divisor. NOTE. — To find the GCD of more than two numbers, first find...

A Practical Business Arithmetic: For Common Schools and Academies. Including ...

Whitman Peck - 1868 - 304 σελίδες
...The common method of finding the gcd, has been to divide the greater of two numbers by the less, and the last divisor by the last remainder, till nothing remains. The last divisor is the gcd Proceed in the same manner with the divisor thus found and another number. Ex. 2. — What is the...

Elements of Algebra

James Haddon - 1871 - 244 σελίδες
...the last divisor d is the greatest common measure of a and h. Hence the rule maybe thus expressed : " Divide the greater number by the less, and that divisor by the remainder, and so on till nothing remains ; the last divisor will be the greatest common measure." This rule would apply...




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