Shred
late Old English scrēad ‘piece cut off’, scrēadian ‘trim, prune’, of West Germanic origin; related to shroud.
wiktionary
From Middle English shrede, shred, from Old English sċrēad, sċrēade, from Proto-Germanic *skraudō(“a cut, shred”). Doublet of escrow.
From Middle English shreden, from Old English sċrēadian, from Proto-West Germanic *skraudōn, related to Proto-West Germanic *skraudan(“to cut up, shred”).
etymonline
shred (n.)
Old English screade "piece cut off, cutting, scrap," from Proto-Germanic *skraudōn- (source also of Old Frisian skred "a cutting, clipping," Middle Dutch schroode "shred," Middle Low German schrot "piece cut off," Old High German scrot, "scrap, shred, a cutting, piece cut off," German Schrot "log, block, small shot", Old Norse skrydda "shriveled skin"), from PIE *skreu- "to cut; cutting tool," extension of root *(s)ker- (1) "to cut" (see shear (v.)).
shred (v.)
Old English screadian "to peel, prune, cut off," from Proto-Germanic *skraud- (source also of Middle Dutch scroden, Dutch schroeien, Old High German scrotan, German schroten "to shred"), from root of shred (n.). Meaning "cut or tear into shreds" is from 1610s. Related: Shredded; shredding.