Myers Arithmetic, Grammar School

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Myers Arithmetic, Grammar School
George William Myers
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D. of 30 and 42; of 105 and 231; of 30 and 70.
6. Make a rule that will give the G. G. D. of two numbers when one or more of the common prime factors is repeated in one or both of the numbers, and test your rule by finding the G. C. D. of 72 and 108; of 288 and 648; of 675 and 1125.
7. Find the G. C. D. of 792 and 1080.
Convenient Form 2 ) 792 1080 792 = 2»X8»X11 ' 1080 = 2»X8»X 5 G. C. D. = 2» X 82 = 8 X 9 = 72 Tl d )W 5 Pbinciplb II. — The 0. C. D. of two or more numbers equals the product of
... all the prime factors common to all the numbers^ each common prime factor being used the smallest number of times xi occurs in any one of the given '^numbers, 8. Find the G. C. D. of the sets of numbers in problem 6, §81.
9. Find the G. C. D. of the f ollowing{applying tests for divisi- bility ' ' (1) 100 and 120; (5) 108, 162, and 216; (2) 54 and 144; (6) 66, 176, and 286; (3) 225 and 315; ^(7) 315, 630, and 756; (4) 215 and 1935; (8) 162, 11^4, and 1458.
10. Reduce these fractions to their lowest terms by dividing both terms by their G.


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