Math, asked by shahinakhan7360, 1 year ago

Find the largest number that divides 189, 223, 347 leaving remainders 9, 3, 7 respectively in each case

Answers

Answered by BrainlyPrincess
126

Step 1 : Subtract 9, 3 & 7 from 189, 223 & 347



189 - 9 = 180



223 - 3 = 220



347 - 7 = 340




Step 2 : Find the prime factors of the obtained numbers



180 = 2 × 2 × 3 × 3 × 5



220 = 2 × 2 × 5 × 11



340 = 2 × 2 × 5 × 17




Step 3 : Find the HCF of the numbers



First let's find the common factors of the new numbers.



Common factors = 2 × 2 × 5 = 20



The product of the common factors is the HCF of the numbers.



∴ HCF = 20




The largest number that divides 189, 223, 347 leaving remainders 9, 3, 7 respectively in each case is 20



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anshulkumar31: hello ji please solve this problem
anshulkumar31: a rectangle plot of land his dimension 40 × 30 there are 5 square flower beads each of side 2.5 m find the area of the remaining plot also find the cost of ploughing five flower beads at the rate of rupees 25 per metre
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anshulkumar31: a square sheet of paper measure 40 cm is separate 5 cm width is cut off from it all around find the area of the reg sheet and also the separate cut out
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anshulkumar31: a well of a diameter 150 cm has a 30 cm wide parapet running around it .find the area of parapet
Answered by Anonymous
66

\bf\huge\boxed{\boxed{\bf\:Hello\:Mate}}}

Subtract  the following First :-


189 - 9 = 180


223 - 3 = 220


347 - 7 = 340



LCM of 180 , 220 , 340



180 = 2 × 2 × 3 × 3 × 5


220 = 2 × 2 × 5 × 11


340 = 2 × 2 × 5 × 17



Common factor = 2 × 2 × 5 = 20



HCF = 20


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anshulkumar31: a square sheet of paper measure 40 cm is separate 5 cm width is cut off from it all around find the area of the reg sheet and also the separate cut out
anshulkumar31: answer is 700
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Anonymous: side = 40....area = (side)² = (40)² = 1600cm² ...now ,,,,,new side = 40-(5×2) = 30cm....area = (new side)² = (30)² = 900cm².....area of cutout = (1600-900) cm² = 700cm²
anshulkumar31: thanks bro
Anonymous: Welcome!
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