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" And, since the product of any number of factors of a number is a divisor of that number, the product of all the common prime factors of two or more numbers is a common divisor of those numbers. "
The Complete Algebra: Embracing Simple and Quadratic Equations, Proportion ... - Page 87
by Edward Olney - 1878 - 439 pages
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The American Arithmetic

James Robinson (of Boston.) - 1847 - 304 pages
...of any combination of the prime factors of a number is a measure of it ; hence, it is evident that the product of all the common prime factors of two or more numbers must be their greatest common factor or measure. Therefore, 3x3x5x5 = 225, the greatest common factor...
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A University Algebra ...

Edward Olney - Algebra - 1873 - 354 pages
...numbers is the product of their common factors, DEM. — Since a factor and a divisor are the same thing, all the common factors are all the common divisors....divisor of that number, the product of all the common factors of two or more numbers is a common divisor of those numbers. Moreover, this product is the...
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The Normal Higher Arithmetic: Designed for Common Schools, High Schools ...

Edward Brooks - Arithmetic - 1877 - 528 pages
...number. 2. A common factor of two or more numbers is a factor of their greatest common divisor. 3. The product of all the common prime factors of two or more numbers is their greatest common divisor. 4. A common divisor of two numbers is a divisor of their sum and also...
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The New Normal Written Arithmetic: Designed for Common Schools, Normal ...

Edward Brooks - Arithmetic - 1877 - 438 pages
...PRINCIPLES. 1. A common factor of two or -more numbers is a factor of their greatest common divisor. 2. The product of all the common prime factors of two or more numbers is their greatest common divisor. 3. A common divisor of two numbers its a divisor of iAeir turn ntnd...
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The Normal Union Arithmetic: Graded Course, Volume 2

Edward Brooks - Arithmetic - 1877 - 250 pages
...PRINCIPLES. 1. A common factor of two or more numbers is a factor of their greatest common divisor. 2. The product of all the common prime factors of two or more numbers is their greatest common divisor. 3. A common divisor of two numbers is a divisor of their sum and also...
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The New Normal Written Arithmetic: Designed for Common Schools, Normal ...

Edward Brooks - Arithmetic - 1877 - 444 pages
...PRINCIPLES. 1. A common factor of two or more numbers is a factor of their greatest common divisor. 2. The product of all the common prime factors of two or more numbers is their greatest common divisor. 3. A common divisor of two numbers is a divisor of their yum and also...
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A University Algebra

Edward Olney - 1878 - 360 pages
...the product of their common prime factors. DEM. — Since a factor and a divisor are the same thing, all the common factors are all the common divisors....of that number, the product of all the common prime fartors of two or more numbers is a common divisor of those numbers. Moreover, this product is the...
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A University Algebra

Edward Olney - Algebra - 1880 - 354 pages
...the product of their common prime factors. DEM. — Since a factor and a, divisor are the same thing, all the common factors are all the common divisors....Moreover, this product is the Greatest or Highest C. D , since no other factor can be introduced into it without preventing its measuring (dividing),...
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The Complete Algebra ...

Edward Olney - Algebra - 1881 - 506 pages
...of their common prime factor?. Demonstration. — Since a factor and a divisor are the same thing, all the common factors are all the common divisors....common prime factors of two or more numbers is a common divixnr of thoso numbers. Moreover, this product is the Greatest or Highest CD, since no other factor...
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A University Algebra: Comprising a Compendious, Yet Complete and Thorough ...

Edward Olney - Algebra - 1882 - 358 pages
...the product of their common prime factors. DEM. — Since a factor and a divisor are the same thing, all the common factors are all the common divisors....number is a divisor of that number, the product of aß the common prime factors of two or more numbers is a common divisor of those numbers. Moreover,...
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