Fox News’ Greg Gutfeld has called on Nancy Guthrie’s family — including daughter Savannah Guthrie — to submit to polygraph tests, as he said that nothing “makes sense” in the bewildering case of the matriarch’s disappearance.

“Have they given everyone polygraphs? I don’t believe they have. I think Savannah Guthrie might wanna volunteer to do a poly and say, ‘I just don’t want people to speculate that I might be involved,'” the “GUTFELD!” host said during Monday’s show.

He said purported ransom notes that have been sent to media outlets demanding bitcoin for the 84-year-old’s safe return are suspicious.

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“I do think the ransom piece is a ruse because the start and the finish of it don’t make any sense. If you really wanna get the money, you don’t go to TMZ. You don’t go to Harvey Levin. You go to the wealthy family who does it behind the scenes, and you [the public] may never hear about it,” Gutfeld said.

“Also the ending, where do you pay, how do you pay, once you make this whole process voluntary, doesn’t make sense. So I think all this is a red herring,” Gutfeld said.

The Fox News host said that if “Today” host Savannah Guthrie took a voluntary lie detector test, which is inadmissible in court without an agreement, it would help to rule out her family’s involvement, as they would all feel obligated to submit to a polygraph test too.

“It puts everyone else in her circle obligated to do a poly. They might have declined to do it before, but if you actually say, ‘I’m willing to do it,’ and everybody else decides to do it, great,” Gutfeld said, as the search for Nancy enters its 10th day.

“So if you decline after the daughter publicly says she’s gonna do one, that looks different to me,” he added.

Gutfeld also called for a re-examination of the finances of Nancy’s relatives.

“I don’t mean the ransom, I mean who needed money, and who didn’t get money,” he said, as Monday’s 7 p.m. Eastern deadline to pay an alleged $6 million in bitcoin for Nancy’s return passed.

Nancy was reported missing after she didn’t show up to a friend’s house to watch a streamed church service on Feb. 1. She was last seen by her son-in-law, who dropped her off after dinner at about 9:45 the night before.

Arizona authorities say they still have not identified any suspects in the bizarre disappearance.

Some of Nancy’s hired help, including a landscaper and pool cleaner, are reportedly submitting DNA samples.

“It’s significant because it reveals that they did get some DNA from inside the home or from the collection of evidence at the scene,” Randy Sutton, a retired Las Vegas police lieutenant and founder of the Wounded Blue, told Fox News Digital.

“So now they’re going to be comparing that DNA to either eliminate individuals or obtain information about them,” he added.