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Find integers x, y such that 242x + 2240y = gcd(242,2240)

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#elementary-number-theory #euclidean-algorithm #linear-diophantine-equations
315
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Given integers x, y and c. Can I always find integers a and b such that ax + by = c?

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#number-theory #euclidean-algorithm
639
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Algorithm with GCD and LCM

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#algorithms #euclidean-algorithm
231
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Constant time algorithm to find closest multiple of an integer a less than integer b

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#elementary-number-theory #algorithms #modular-arithmetic #computational-complexity #euclidean-algorithm
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Calculate the multiplicative inverse of $7$ in $\mathbb{Z}_{12}$

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#modular-arithmetic #euclidean-algorithm
117
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Use euclidean algorithm to calculate the multiplicative inverse of $5$ in $\mathbb{Z}_{12}$

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#linear-algebra #algebra-precalculus #modular-arithmetic #euclidean-algorithm
46
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Messages synchronization algorithm

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#linear-algebra #algorithms #euclidean-algorithm
88
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Procedural question regarding number of steps in Euclidean algorithm

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#elementary-number-theory #fibonacci-numbers #euclidean-algorithm
401
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How do the Euclidean and extended Euclidean algorithms work?

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#modular-arithmetic #euclidean-algorithm
689
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Why take the last non zero remainder in Euclid's algorithm as GCD?

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#gcd-and-lcm #euclidean-algorithm
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Is there a simpler way to find an inverse of a congruence?

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#elementary-number-theory #euclidean-algorithm
601
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3 variable diophantine equation word problem: coins

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#number-theory #elementary-number-theory #diophantine-equations #euclidean-algorithm #linear-diophantine-equations
191
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$15x\equiv 20 \pmod{88}$ Euclid's algorithm

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#elementary-number-theory #congruences #euclidean-algorithm
4k
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Euclidean Algorithm : Confusion with how many divisions needed?

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#euclidean-algorithm
87
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Find numbers a, b, so that gcd(Fₙ, Fₙ₊₁) = aFₙ + bFₙ₊₁ holds using Euclidean Algorithm

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#elementary-number-theory #fibonacci-numbers #gcd-and-lcm #euclidean-algorithm

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