Can women perform congregational prayers in the Masjid al-Haram and Masjid al-Nabawi?

In the Holy Haramain (the two holy mosques), women go to the mosque just like men for prayers, although there is a specific entrance and designated prayer area for women. However, due to the immense crowd of pilgrims during the Hajj, they often cannot reach their designated area and end up standing among men to…