 | Silas Sadler Packard, Byron Horton - Business mathematics - 1882 - 324 pages
...If the smaller of two numbers is a divisor of the greater, it is their greatest common divisor. 2. A common divisor of two numbers is a divisor of their sum, and also of their difference. 3. A divisor of a number is a divisor of any multiple of that number. 29. RULE. — Divide the greater... | |
 | Emerson Elbridge White - Arithmetic - 1883 - 368 pages
...divisor a common divisor? What is the greatest, common divisor of two or more numbers? Show that the common divisor of two numbers is a divisor of their sum and also of their difference. 12. How many multiples has every number? What is a common multiple? What is the least common multiple... | |
 | Edward Olney - Geometry - 1883 - 344 pages
...finding the greatest common divisor of two or more numbers, it may be best first to prove that " A divisor of two numbers is a divisor of their sum, and also of their difference." This theorem, when proved for such a purpose, is called a Lemma. The term Lemma is not much used, and... | |
 | Emerson Elbridge White - Arithmetic - 1883 - 370 pages
...product of all the prime factors common to two or more numbers is their greatest common divisor. 3. A common divisor of two numbers is a divisor of their sum, or of their difference. 4. Any common divisor of either of two numbers and their difference is a common... | |
 | John Williston Cook - Arithmetic - 1883 - 200 pages
...divisor of two numbers is a divisor of their difference, the gcf of 2373 and 2499 must divide 126. Since a common divisor of two numbers is a divisor of their sum the gcf of 2373 and 126 must be divisor of 2499 and must be the gcf of 2373 and 2499, hence I examine... | |
 | James Bates Thomson - Business mathematics - 1884 - 344 pages
...38. PRINCIPLES.—1°. An exact divisor of a number is a divisor of any multiple of that number. 2°. A common divisor of two numbers is a divisor of their sum and of their difference. 3°. The greatest common divisor of two or more numbers is the product of all... | |
 | Edward Olney - Algebra - 1885 - 364 pages
...goes into b, g times, it is evident that it goefl into n times b, or nb, n times q, or ng times. 128. LEMMA 4. — A common divisor of two numbers is a...also of their difference. DEM. — Let a be a CD of TO and n, going into m, p times, and into n, q times. Then (m ± n) -f- a = p ± q. «j. ED 129. Prob.... | |
 | Education - 1888 - 686 pages
...the well-known principles: (a) A divisor of a number is a divisor of any multiple of that number, (b) A common divisor of two numbers is a divisor of their sum. (c) A common divisor of two numbers is a divisor of their difference. i. By principle (a) n is a divisor... | |
 | John Edward King - Business mathematics - 1891 - 254 pages
...and also of two times 9, three times 9 etc., as 18, 37, and 36. 2. A common divisor of two or more numbers is a divisor of their sum and also of their difference. Thus, 3 is a divisor of 9 and of 18. It will divide their sum (27 •*• 3 = 9) and also their difference... | |
 | 1893 - 252 pages
...and also of two times 9, three times 9 etc., as 18, 27, and 36. 2. A common divisor of two or more numbers is a divisor of their sum and also of their difference. Thus, 8 is a divisor of 9 and of 18. It will divide their sum (27 •* 3 = 9) and also their difference... | |
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LEMMA 4. — A common divisor of two numbers is a divisor of their sum and also of their difference. 
