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" LEMMA 4. — A common divisor of two numbers is a divisor of their sum and also of their difference. "
Elementary Geometry: Including Plane, Solid, and Spherical Geometry, with ... - Page 14
by Edward Olney - 1883 - 333 pages
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The Normal Standard Arithmetic: By Analysis and Induction, Designed for ...

Edward Brooks - Arithmetic - 1895 - 424 pages
...the common factors of 12 and 18 are 2 and 3 ; and 2x3, or 6, is their GCD 8. A common divisor of tioo numbers is a divisor of their sum and also of their difference. Thus, take any two numbers, as 12 and 20, of which 4 is a common divisor. Now, 12 equals three times...
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Mathematics for Common Schools: A Manual for Teachers, Including Definitions ...

John Henry Walsh - Arithmetic - 1895 - 138 pages
...divisor of two or more numbers is the product of their common prime factors. PRINCIPLES. — A common divisor of two numbers is a divisor of their sum, and also of their difference. A divisor of a number is a divisor of every multiple of that number; and a common divisor of two or...
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For 6th-8th grade

George Edward Atwood - Arithmetic - 1899 - 392 pages
...greatest common divisor of two or more numbers is the product of their common prime factors. 4. A common divisor of two numbers is a divisor of their sum, and also of their difference. 5. A divisor of a number is a divisor of any multiple of that number, and a common divisor of two numbers...
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High School Question Book

W. H. F. Henry - Questions and answers - 1899 - 440 pages
...Divisor f (1) A divisor of a number is a divisor of any number of times that number. (2) A divisor of any two numbers is a divisor of their sum and also of their difference. 120. Give a rule for a general method of finding the GCD To find the GCD of two numbers, divide the...
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Methods in Education

Thomas Jefferson McEvoy - Education - 1908 - 472 pages
...divisor. 1. A divisor of a number is a divisor of any number of times that number. 2. A divisor of any two numbers is a divisor of their sum and also of their difference. (1) The gcd of two or more numbers is the product of all their common prime factors. Found, in first...
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Elementary Algebra

George William Myers, George Edward Atwood - Algebra - 1916 - 358 pages
...determine whether a binomial is the product of the sum and difference of two numbers? 5. Show that a common divisor of two numbers is a divisor of their sum and also of their difference. 6. -Recalling the solution of equations by factoring, what are the roots of the equation, x2 - 5x+6...
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Self-proving Business Arithmetic

Thomas Theodore Goff - Business mathematics - 1923 - 344 pages
...dividing 54 by 18, we find that it is divisible exactly; hence 18 is an exact divisor of 72, since a divisor of two numbers is a divisor of their sum, and in the second operation we found that the sum of 54 and 18 is 72. For the same reason, 18 is an exact...
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Educational Foundations: A Text Book for the Professional Teacher, Volume 10

Education - 1899 - 698 pages
...multiples, divisors, etc. 4. The divisor of a number is the divisor of any multiple of that number; a divisor of two numbers is a divisor of their sum and difference. 5. Answered elsewhere. 6. (a) A fraction is an indicated operation in division, the numerator...
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