Finding broken links on your website is going nowhere

Screaming Frog's free version crawls up to 500 URLs, which covers most small sites. Run it, go to Response Codes and filter to Client Error (4xx), then click a broken URL and open the Inlinks tab at the bottom. That shows every page linking to it and the anchor text, which is the bit you actually need to fix it. For broken links coming from other sites to you, use the Pages report in Search Console and look at Not found (404). Redirect the ones that used to be real pages. What are you using at the moment?