The most common standalone use: the relative standing, class, dignity, or level of a person or thing. Also used as a suffix in words such as 大臣格, meaning having that level or status.
あのチームとは格が違う。
They are in a different class from that team.
彼は大臣格で交渉に参加した。
He took part in the negotiations with ministerial-level status.
A less common, formal or older use for an established way, style, or manner of doing something. In modern Japanese, words such as 様式, 流儀, or やり方 are usually clearer.
古い用法では、かく（格）が物事のやり方や様式を指すことがある。
In older usage, kaku can refer to the way or style of doing something.
Rare as an independent modern noun in this sense; it is best understood as a formal or historical use for a rule, regulation, or legal norm.
法制史の説明では、かく（格）を法令・規則の意味で扱うことがある。
In explanations of legal history, kaku may be treated as meaning laws or regulations.
grammatical case
Grammar term for the role or relationship of a noun phrase, as in nominative, accusative, genitive, and similar cases.
ラテン語では名詞の格が語尾で変わる。
In Latin, the case of a noun changes in its ending.
figure of a syllogism
Logic term for the form or figure of a syllogism, especially in traditional syllogistic logic.
授業では三段論法の格を四つに分類した。
In class, we classified the figures of syllogisms into four types.
He was invited to the ceremony with a status equivalent to a minister.
If you act like that, your standing will drop.
It was said that discount selling would lower the shop's standing.
authentic style; orthodox method; genuine way
cool; attractive; stylish; good-looking
passing (an exam); success; passing grade · meeting standards; passing inspection; qualification
shape; form; posture; pose · appearance; style; look · state; situation; position · suitable; fit; reasonable · about; around
standard; norm; specification
personality; character; individuality; personhood
hand-to-hand fight; grapple; scuffle · struggle (with a problem); wrestle (with a task)
very cheap; bargain; cut-price
gap; disparity; qualitative difference
disqualification; elimination · being unfit for one's role; being a failure
strict; severe; rigid
promotion; advancement; raising of status
skeleton; skeletal structure; build; physique · framework; skeleton
physique; build; frame
storage; housing; stowing · saving; storing (data)
combat sport; martial art; one-on-one fighting sport
dramatic; remarkable; marked · far better; exceptional
rating; ranking; grading; classification
demotion; relegation; downgrading
eligible; qualified; competent
particular; special; exceptional · particularly; especially; exceptionally
special; exceptional; in a class of its own
extraordinary; exceptional; unprecedented · solecistic; non-standard; irregular
hangar
saying; maxim; aphorism; proverb
dignity; grace; class
divinity; godhead; divine nature