Find the LCM of the following using Euclidean Algorithm.1. [48,32]2. [35,50]3. [75, 325]4. [252,182]5. [36, 64, 112]6. [9a + 8,6a + 5]

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Answered: Find the LCM of the following using…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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V. Determine the greatest common divisors of each pair of numbers using Euclidean algorithm. Show your solutions.16. (512, 1,200) 17. (1,001, 1,331) 18. (1,000, 5,040) 19. gcd(111, 201) 20. gcd(1,234, 4,321)gcd⁡f0(1,234, 4,321)
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Start Fill in the missing numbers of the sequence generated by Euclid's algorithm on inputs 70 and 15. gcd(70, 15) yields sequence: 70 15 Ex: 5 Ex: 5 0 Check cative inverse mod n 1 Next 2
10.Calculate the highest common factor of 2244 and 2145. (a) by the Euclidean algorithm (b) by factorizing 2244 and 2145 into prime factors.
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1. a. Find ged(31415, 14142) by applying Euclid's algorithm. b. Estimate how many times faster it will be to find ged(31415, 14142) by Euclid's algorithm compared with the algorithm based on checking con- secutive integers from min{m, n} down to gcd(m, n).
If you are using the Sieve of Eratosthenes to find all the prime numbers between 50 and 150, how many times are you going to perform the algorithm before you can con- clude that all the numbers which remains un-striken are prime numbers. 12 2 O 11
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1. For each pair of integers m and n, use the division algorithm to divide m by n. Write the result in the form m = q⋅n + r where 0 < r < n. a. m = 32 and n = 9 b. m 62 and n = 7 = c. m -45 and n = 11 d. m 3 and n = 8 2. For each pair of integers a and b, use the Euclidean Algorithm to find the GCD(a, b). Then use Theorem 92 to find the LCM(a, b) a. a = 48 and b = 54 b. a = 330 and b = 156 c. a=1188 and b = 385 3. For each pair of integers m and d, calculate m mod d. Show your work! a. m 43 and d = 9 b. m 50 and d = 7 c. m 28 and d = 5 d. m = 30 and d = 2
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Find the LCM of the following using Euclidean Algorithm. 1. [48,32] 2. [35,50] 3. [75,325] 4. [252,182] 5. [36, 64, 112] 6. [9a + 8,6a + 5]