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gcd

gcd(6, 8);

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gcd

P:gcd(x^4-x^3+6*x^2-4...

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gcd

gcd(20,84);

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gcd-totient

totient(3403847);

gcd(3400056,59365);

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gcd

gcd(62113, 3234420);

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gcd

pgcd(2340,540);

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gcd

gcd(2269680,97379);

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gcd

gcd(50,67);

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gcd-gcdex-linsolve-totient

eq1:x*4+y-2=y;

eq2:x+2=y;

linsolve([eq1,eq2],[x...

Calculate

gcd-inv_mod-mod-power_mod

p:2932031007403;

q:768614336404564651;

n:p*q;

Calculate

gcd

Run Example
(%i1)gcd(2704,1804);
(%o1)                                  4
(%i2) 
Run Example
mod(2^(2*3*4)-1,220459);
(%o1)                                22331
(%i2) gcd(2^(2*3*4)-1,220459);
(%o2)                                  1
(%i3) 
Run Example
p:47;
(%o1)                                 47
(%i2) q:59;
(%o2)                                 59
(%i3) n:p*q;
(%o3)                                2773
(%i4) phi_n: (p-1)*(q-1);
(%o4)                                2668
(%i5) e:79;
(%o5)                                 79
(%i6) gcd(e,phi_n);
(%o6)                                  1
(%i7) d:inv_mod(e,phi_n);
(%o7)                                 743
(%i8) m:65;
(%o8)                                 65
(%i9) c:power_mod(m,e,n);
(%o9)                                 870
(%i10) power_mod(c,d,n);
(%o10)                                65
(%i11) 
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