Math, asked by jitumishrarly, 3 months ago


Find the greatest number that divides 249 and 309 leaving remainder 9

Answers

Answered by ayushromanempire2345
21

here \: is \: your \: ans \: mate \:  \\ first \: we \: will \: sub \: 9from \: both \\ 249 - 9 = 240 \\ 309 - 9 = 300 \\ now \: we \: will \: take \: hcf \: of \: 300 \\  \: and240 \\ 240 = 2 \times 2 \times 2 \times 2 \times 3 \times 5 \\ 300 = 2 \times 2 \times 3 \times 5 \times 5 \\ so \: common \: factor \: is \: 2 \times 2 \times 3 \times 5  \\  = 60 \\ so \: largest \: number \: is \: 60

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