The Voyager spacecraft, namely Voyager 1 and Voyager 2, were launched in 1977 with the primary mission of exploring the outer Solar System. Their trajectories were designed to conduct close flybys of Jupiter and Saturn, with Voyager 2 continuing on to Uranus and Neptune. However, they were not intended to travel to other galaxies.
To put the distance between the Voyager spacecraft and the Andromeda Galaxy (M31) into perspective, it is important to note that the Andromeda Galaxy is located about 2.537 million light-years away from us. A light-year is the distance light travels in one year, which is roughly 9.461 trillion kilometers (5.878 trillion miles).
Given that the Voyagers are currently traveling at speeds of about 17 kilometers per second (10.5 miles per second) relative to the Sun, it would take an incredibly long time for them to reach the Andromeda Galaxy. In fact, it would take the Voyagers hundreds of millions of years, if not billions, to reach that distant galaxy. This timescale is far beyond the expected operational lifetimes of the spacecraft, which will likely cease functioning well before such an immense journey could be completed.
It's worth noting that the Andromeda Galaxy is actually on a collision course with our own Milky Way Galaxy. Over the course of several billion years, the two galaxies will gradually approach each other due to the effects of gravity. However, even in this scenario, the Voyagers would not reach the Andromeda Galaxy since their trajectory is limited to the vicinity of the Solar System.
In summary, the Voyager spacecraft were not designed to travel to other galaxies, and the immense distance between the Voyagers and the Andromeda Galaxy means that they would require an incomprehensibly long time to reach it, far exceeding their operational lifetimes.