def pgcd(m,n) :
   while n>1 : m,n=n,m%n
   return 1 if n else m

v=50

k=0; resul=set()
for h in range(1,v+1):
   if v%h: continue
   s=v//h
   for i in range(1,s+1):
      for j in range(i,s+1):
         if i+j-pgcd(i,j)==s:
            k+=1; vol=i*j*h;
            print("N° %3d Largeur= %3d Longueur= %3d Hauteur= %3d Volume= %4d"%(k,i,j,h,vol));
            resul.add(vol)

print("%d volumes différents\n%s"%(len(resul),sorted(resul)))

39 volumes différents
[50, 90, 98, 100, 120, 138, 140, 150, 188, 210, 230, 250, 266, 276, 306, 308, 330, 344, 410, 420, 440, 450, 494, 500, 518, 532, 560, 600, 608, 612, 620, 638, 644, 650, 660, 700, 750, 1250, 2500]