The solution to repairing seamless gutters changes depending on the size of the hole - if the hole is smaller than a nail hole, some roofing cement or silicone caulk will do the trick. If it is larger than a nail hole, you will need a piece of flashing to fix it.
My washing machine had an issue where a belt came loose and the tread off (so clothes remaining wet as it wouldnt spin properly). Igor came out, assessed and put in a temporary fix while they ordered the part....