The length, breadth and height of a room are 8 m 25 cm, 6 m 75 cm and 4 m 50 cm respectively. Determine the longest rod which can measure the three dimensions of the room exactly.
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Hello@ dear,
Your answer goes like this.....
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Initially,The given values are 825cm, 675cm, 450cm.
Basically we need to find the length{in cm} of rod which is a factor of 825,675 and 450.
By using Prime Factorization:-
825=3x5²x11
675=3²x5²
450=2x3²x5²
From the above factorization,We got H.C.F⇒3x5²=75.
∴The Longest length rod Which measures the 3 dimensions of the room exactly will surely be "75cm Long".
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Thank you!
Your answer goes like this.....
----------------------------------------------------------------------------------
Initially,The given values are 825cm, 675cm, 450cm.
Basically we need to find the length{in cm} of rod which is a factor of 825,675 and 450.
By using Prime Factorization:-
825=3x5²x11
675=3²x5²
450=2x3²x5²
From the above factorization,We got H.C.F⇒3x5²=75.
∴The Longest length rod Which measures the 3 dimensions of the room exactly will surely be "75cm Long".
-------------------------------------------------------------------------------------------
Thank you!
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