Chapter 4: Q25SE (page 307)
Use the Euclidean algorithm to find the greatest common divisor of 10,223 and 33,341 .
Short Answer
The greatest common divisor of10,223 and 33,341 is 1
Chapter 4: Q25SE (page 307)
Use the Euclidean algorithm to find the greatest common divisor of 10,223 and 33,341 .
The greatest common divisor of10,223 and 33,341 is 1
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Get started for freeUsing the method followed in Example 17, express the greatest common divisor of each of these pairs of integers as a linear combination of these integers.
a) 9,11 b) 33,44 c) 35,78 d) 21,55 e) 101,203 f)124,323 g) 2002,2339 h) 3457,4669 i) 10001,13422
Determine whether the integers in each of these sets are Pairwise relatively prime.
a) 21, 34, 55 b) 14, 17, 85
c) 25, 41, 49, 64 d) 17, 18, 19, 23
Show that if a and b are both positive integers, then
How many zeroes are there at the end of 100!?
a) Describe a procedure for finding the prime factorization of an integer.
b) Use this procedure to find the primefactorization of 80,707.
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