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" Divide the greater number by the less, and then divide the divisor by the remainder, and continue to divide the last divisor by the last remainder until nothing remains. The last divisor will be the greatest common divisor sought. "
Mental and Practical Arithmetic - Page 136
by Charles Davies - 1838 - 288 pages
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Easy Introduction to Mathematics, Volume 1

Charles Butler - 1814 - 540 pages
...the less, and divide the divisor by the remainder. II. Proceed in this manner, dividing continually the last divisor by the last remainder, until nothing remains : the last diThere are some other denominations of fractions, as continued fnctvau, nsed for approximating to...
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The Common School Arithmetic: Prepared for the Use of Academies and Common ...

Charles Davies - Arithmetic - 1833 - 284 pages
...divisor of two numbers is obtained by dividing the greater by the less ; then dividing the divisor by th remainder, and continuing to divide the last divisor...divisor will be the greatest common divisor sought. Ex. 3. Find the greatest common divisor of the two numbers 63 and 81. 63)81(1 PROOF. 63 9)63(7 18)63(3...
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Arithmetic, designed for academies and schools, with answers

Charles DAVIES (LL.D.) - Arithmetic - 1843 - 348 pages
...72 greatest common div. 18)72(4 72 Now if 18 will divide 72, it will also divide 90, for 90=72+18, and 18 will be contained once more in 90=72 + 18 than...the last remainder until nothing remains. The last dinisor will be the greatest common divisor sought. Q. Will the common divisor of two numbers divide...
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Arithmetic Designed for Academies and Schools: With Answers

Charles Davies - Arithmetic - 1844 - 358 pages
...will divide 72, it will also divide 90, for 90=72+18, and 18 will be contained once more in 90=72+18 than in 72: but 18 divides 72 without a remainder:...the last remainder until nothing remains. The last dioisor will be the greatest common divisor sought. Q. Will the common divisor of two numbers divide...
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Arithmetic Designed for Academies and Schools: With Answers

Charles Davies - Arithmetic - 1844 - 666 pages
...divisor by the remainder, and continuing to divide the last divisor by the last remainder until not1ting remains. The last divisor will be the greatest common...you find the greatest common divisor of two numbers t 3. Find the greatest common divisor of the two numbers 63 and 81. OPERATION. PROOF. 63)81(1 9)63(7...
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Arithmetic: Designed for Academies and Schools,(with Answers.)

Charles Davies - Arithmetic - 1844 - 356 pages
...greatest common divisor of two numbers is obtained by dividing the greater by the less, then dividing tiie divisor by the remainder, and continuing to divide...the last remainder until nothing remains. The last dieisor will be the greatest common divi'jor sought. Q. Will the common divisor of two numbers divide...
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The American Statistical Arithmetic: Designed for Academies and Schools

Francis Henney Smith - Arithmetic - 1845 - 710 pages
...of the fraction by the less, and this divisor by the remainder, and so on, continuing to divide each divisor by the last remainder until nothing remains:...last divisor will be the greatest common divisor. II. Divide each term of the fraction by the greatest common divisor. Q. If we knew the greatest number...
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Smith and Duke's The American Statistical Arithmetic: Designed for Academies ...

Francis Henney Smith - Arithmetic - 1845 - 300 pages
...the fraction by the less, and I Ihis divisor by the remainder, and so on, continuing to divide each divisor by the last remainder until nothing remains:...last divisor will be the greatest common divisor. II. Divide each term of the fraction by the greatest common divisor. Q. If we knew the greatest number...
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The University Arithmetic: Embracing the Science of Numbers, and Their ...

Charles Davies - Arithmetic - 1846 - 378 pages
...it Divide the greater number by the less, and then divide the divisor by the remainder, and continue to divide the last divisor by the last remainder until...divisor will be the greatest common divisor sought. EXAMPLES. 1. Find the greatest common divisor of 408 and 740. 2. Find the greatest common divisor of...
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Arithmetic: Designed for Academies and Schools, Uniting the Inductive ...

Charles Davies - Arithmetic - 1847 - 368 pages
...divisor, Divide the greater number by the less, and then divide the divisor by the remainder, and continue to divide the last divisor by the last remainder until...divisor will be the greatest common divisor sought. NOTE. If it be required to find the greatest common divisor of more than two numbers, find first the...
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