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" LEMMA 4. — A common divisor of two numbers is a divisor of their sum and also of their difference. "
The Complete Algebra: Embracing Simple and Quadratic Equations, Proportion ... - Page 91
by Edward Olney - 1877 - 390 pages
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The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1857 - 452 pages
...number that will divide them without a remainder ; thus, 2 is a common divisor of 4, 8, and 10. 196i A common divisor of two numbers is a divisor of their sum, and also of their difference. Thus, 6, a common divisor of 12 and 18, is a divisor of their sum, 40, and of their difference, 6....
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Introduction to The National Arithmetic: On the Inductive System : Combining ...

Benjamin Greenleaf - Arithmetic - 1857 - 336 pages
...of the number itself. Thus 3, a divisor of 9, a factor of 45, is a divisor of 45 itself. ART. 121. A common divisor of two numbers is a divisor of their sum and of their difference. Thus 4, a common divisor of 16 and 20, is a divisor of their sum, 28, and of their...
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Practical Arithmetic, by Induction and Analysis

Joseph Ray - Arithmetic - 1857 - 348 pages
...PRIX. A divisor of a number, is a divisor of any Multiple of that number; Art. Ill, Prin. 1. 2D PaiN. A common divisor of TWO numbers is a divisor of their SUM ; Art. Ill, Prin. 2. 3o PRIN. A common divisor of two numbers, is a divisor of their DIFFERENCE. Since...
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The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1858 - 458 pages
...number that will divide them without a remainder ; thus, 2 is a common divisor of 4, 8, and 10. 196, A common divisor of two numbers is a divisor of their sum, and also of their difference. Thus, 6, a common divisor of 12 and 18, is a divisor of their sum, 40, and of their difference, 6....
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The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1858 - 456 pages
...number that will divide them without a remainder ; thus, 2 is a common divisor of 4, 8, and 10. 196« A common divisor of two numbers is a divisor of their sum, and also of their difference. Thus, 6, a common divisor of 12 and 18, is a divisor of their sum, 40, and of their difference, C....
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Introduction to The National Arithmetic: On the Inductive System Combining ...

Benjamin Greenleaf - Arithmetic - 1858 - 332 pages
...of the number itself. Thus 3, a divisor of 9, a factor of 45, is a divisor of 45 itself. ART. 121, A common divisor of two numbers is a divisor of their sum and of their difference. Thus 4, a common divisor of 16 and 12, is a divisor of their sum, 28, and of their...
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Introduction to the National Arithmetic, on the Inductive System: Combining ...

Benjamin Greenleaf - Arithmetic - 1861 - 338 pages
...of the number itself. Thus 3, a divisor of 9, a factor of 45, is a divisor of 45 itself. ART. 121, A common divisor of two numbers is a divisor of their sum and of their difference. Thus 4, a common divisor of 16 and 12, is a divisor of'their sum, 28, and of their...
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The Normal Written Arithmetic: By Analysis and Synthesis, Designed for ...

Edward Brooks - Arithmetic - 1863 - 350 pages
...which will enable the pupil to understand the next method of greatest common divisor. PRIN. I. — A common divisor of two numbers is a divisor of their sum and also of their difference. DEM. — Take any two numbers, 12 and 20, of which 4 ii a common divisor. Now, 12 = 3 times four, and 20...
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Practical Arithmetic, Embracing the Science of Numbers and the Art of ...

John Fair Stoddard - Arithmetic - 1868 - 356 pages
...divisor. PEIN. 2. — A divisor of a number is a divisor of any numbei of times that number. PBIN. 3. — A common divisor of two numbers is a divisor of their sum, and also of their difference. PEIN. 4. — The greatest common divisor of the difference of two numbers and one of them, is the greatest...
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Stoddard's Complete Arithmetic: Being the New Practical Arithmetic of the ...

John Fair Stoddard - Arithmetic - 1888 - 480 pages
...divisor. PBDJ. 2. — A divisor of a number is a divisor of any number of times that number. PRIN. 3. — A common divisor of two numbers is a divisor of their sum, and also of their difference. PBIN. 4. — The greatest common divisor of the difference of two numbers and one of them, is the greatest...
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