## Calculate the greatest common divisor, Algebra

Assignment Help:

Question 1:

(a) Describe a binary operation on a set S.

(b) Give the definition of a group.

(c) State whether the following statements are TRUE or FALSE. Justify your answer.

(i) The set of natural numbers is closed with respect to multiplication.

(ii) The set of integers is closed with respect to division.

(iii) The set of rational numbers contains the additive inverse for each of its members.

Question 2: Euclidean Algorithm

(a) Explain how the Euclidean algorithm is used to calculate the greatest common divisor of two integers a and b.

(b) Under which condition does the equation ax + by = d, where a,b,c ,a,b ≠ 0, has solution in

(c) Find x, y such that 2431x + 1324y = 11.

#### Solving the inequalities, Inequalities Involving > and ≥ Once again l...

Inequalities Involving > and ≥ Once again let's begin along a simple number example.                                                     p ≥ 4 It says that whatever p i

#### Rational expressions, I am looking the domain of g^2-6g-55/g. The denominat...

I am looking the domain of g^2-6g-55/g. The denominator here can be also be written as 1g, right?

#### Exponential and radical functions, Graph each data set. Which kind of mode...

Graph each data set. Which kind of model best describes the data? {(0,3), (1,9), (2,11) (3,9), (4,3)}

#### Linear equations, one no. is 7 more than another and its square is 77 more ...

one no. is 7 more than another and its square is 77 more than the square of the smaller number.What are the numbers?

#### Solve, x=1-yto the second power

x=1-yto the second power

7x+6=x-30

6u+5>2

0.06n=0.15

#### #transforming quadratic and square root functions, how would i solve one of...

how would i solve one of these functions. like how would i find the domain and range? and may i get an example.

#### Elevation, A v\certain mountain had an elevation of 19,063 ft. In 1911 the ...

A v\certain mountain had an elevation of 19,063 ft. In 1911 the glacier on this peek covered 8 acres. by 2000 this glacier had melted to only 1 acre. what is the yearly rate of ch
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