Intersecting Lines first

def GetFactors(num):
  negative = 1
  if num < 0:
     negative = -1
  factors = []
  if num == 0:
    return [0,1]
  for i in range(1, num+negative, negative):
    if i!= 0 and num%i==0:
      factors.append(abs(i))
  return factors[::-1]

def Division(num1,num2): 
  for i in range(0, len(GetFactors(num1))):
    if GetFactors(num1)[i] in GetFactors(num2):
      return GetFactors(num1)[i]

def getInts(arr):
  x = ""
  y=""
  which = 0
  for i in arr:
    if i != "(" and i!="," and i!=")":
      if which == 0:
        x+=i
      else:
        y+=i
    elif i == ",":
      which = 1
  return [int(x), int(y)]

def simplify(fraction):
  numNeg = 1
  denNeg = 1
  divideIndex = 0
  numeratorStr = ""
  denominatorStr = ""
  for i in fraction:
    if i == "/":
      divideIndex = fraction.index(i)
  for i in range(0, divideIndex):
    numeratorStr += fraction[i]
  for i in range(divideIndex+1, len(fraction)):
    denominatorStr += fraction[i]
  numerator = int(numeratorStr)
  denominator = int(denominatorStr)
  if denominator < 0 and numerator < 0:
    numerator = numerator*-1
    denominator = denominator*-1
  elif denominator < 0:
    numerator = numerator*-1
    denominator = denominator*-1
  gcf = Division(denominator, numerator)
  numeratorF = numerator/gcf
  denominatorF = denominator/gcf
  finalFraction = str(numeratorF) + "/" + str(denominatorF)
  if numeratorF == 0:
    return str(0)
  elif denominatorF == 1:
    return str(numeratorF)
  else:
    return finalFraction
  
def IntersectingLines(strArr): 
  ints1 = getInts(strArr[0])
  ints2 = getInts(strArr[1])
  ints3 = getInts(strArr[2])
  ints4 = getInts(strArr[3])
  p1 = ints1[0]
  p2 = ints2[0]
  q1 = ints1[1]
  q2 = ints2[1]
  a1 = ints3[0]
  a2 = ints4[0]
  b1 = ints3[1]
  b2 = ints4[1]
  deltaP = p1-p2
  deltaQ = q1-q2
  deltaA = a1-a2
  deltaB = b1-b2
  if deltaQ/deltaP == deltaB/deltaA:
    return "no intersection"
  xNumerator = deltaA*deltaP*q1-deltaA*deltaQ*p1-deltaP*deltaA*b1+deltaP*deltaB*a1
  xDenominator = deltaP*deltaB-deltaA*deltaQ
  yNumerator = xNumerator*deltaB+deltaA*xDenominator*b1-deltaB*xDenominator*a1
  yDenominator = deltaA*xDenominator
  xFraction = simplify(str(xNumerator)+"/"+str(xDenominator))
  yFraction = simplify(str(yNumerator)+"/"+str(yDenominator))
  return "("+xFraction+","+yFraction+")"   
print(IntersectingLines(input('Coordinates: ')))
raw_input('Press Enter to Exit')

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