Given two numbers, a = 287 and b = 91; a) Find the greatest common divisor (GCD) of a and b using Euclidean Algorithm. b) Write the GCD as d = sa + tb using Euclidean Algorithm. Given that p = 540 and q = 504. Find the Least Common Multiple (LCM) of p and q.

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A: With a and b as given in understated questions find the q and r that satisfy the conditions in the…

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A: To find- Find the greatest common divisor of 502008 and 6159 by using the Euclidean Algorithm.

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Q: With a and b as given in understated questions find the q and r that satisfy the conditions in the…

A: Givena=-5316b=171Division algorithmIf p(x) is divident, (x-a) is a divisor then p(x) =(x-a)q(x)+r(x)…

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A: Since you have asked multiple questions, we will solve the first one for you. If you want any…

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Q: Deploy the Euclidean algorithm to calculate the greatest common divisor of n1 = 168 and nz 120.

A: I have used the euclidean algorithm as asked

Q: I. Apply the Division Algorithm on the following pairs of integers. 1. a = 35 and b= 14

A: Given Data: a=35 and b=14 Division Algorithm:

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Q: 7. Use the Euclidean algorithm to find the greatest common divisor of 142 and 3084.

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Q: (a) Use the Euclidean algorithm to find gcd(131, 326).

A: As per your query the solution of part (a) has been given below.

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Q: Use the binary exponentiation algorithm to compute the remainder when 385 is divided by 53.

A: Remainder (385 / 53) 385 = 77 * 5 77 / 53 leaves remainder 24 So  24 * 5 = 120  When 120 / 53 leaves…

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A: Given: - The number is, GCD(179,85) To find: - The greatest common factor of the given number by…

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A: To compute LCM and GCD.

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Q: (a) Use the Euclidean algorithm to find gcd(131, 326). (b) Use the above to find a solution to 131a…

A: First, we find the solution of (a) then use it to solve (b)

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Q: Use the Euclidean algorithm to find gcd(7 – 1li, 18 – i) |

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

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A: Here we have to divide 328 by 4   now, when 328 is divided by 4, 82 is the quotient and we het 0 as…

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Q: Use the Euclidean Algorithm to find integers x and y such that gcd(56, 72) 56x + 72y %3D

A: To find - Use the Euclidean Algorithm to find integers x and y such that gcd56, 72 = 56x + 72y

Q: Use the Egyptian algorithm to calculate the product.   13×21

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A: Hi! you have posted multiple subparts. We will be answering the first three subparts as nothing is…

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Q: Use the Euclidean Algorithm to find integers x and y such that gcd(56, 72) : 56x + 72y %3D

A: See the attachment

Q: o use the Egyptian​ algorithm, first rewrite the number 14as a sum of powers of two. 14=2+ ? +

A: To write 14  as a sum of power of two.

Q: (a) Use the Euclidean Algorithm to determine the greatest common divisor of -3720 and 6552. (b)…

A: GCD greatest common factor LCM least common factor