function Euclid_gcd(a, b) {  
      a = +a;  
      b = +b;  
      if (a !== a || b !== b) {  
        return [NaN, NaN, NaN];  
      }  
        
      if (a === Infinity || a === -Infinity || b === Infinity || b === -Infinity) {  
        return [Infinity, Infinity, Infinity];  
      }  
      // Checks if a or b are decimals  
      if ((a % 1 !== 0) || (b % 1 !== 0)) {  
        return false;  
      }  
      var signX = (a < 0) ? -1 : 1,  
        signY = (b < 0) ? -1 : 1,  
        x = 0,  
        y = 1,  
        u = 1,  
        v = 0,  
        q, r, m, n;  
      a = Math.abs(a);  
      b = Math.abs(b);  
      
      while (a !== 0) {  
        q = Math.floor(b / a);  
        r = b % a;  
        m = x - u * q;  
        n = y - v * q;  
        b = a;  
        a = r;  
        x = u;  
        y = v;  
        u = m;  
        v = n;  
      }  
      return [b, signX * x, signY * y];  
    }  
      
    console.log(Euclid_gcd(17, 4));