Junior Class 5 Answered
Detailed solution for the below problem.
find the greatest number that divides 16137, 27225 and 25209 leaving 9 as a remainder. Please show steps
Asked by Chitra.krishnappa | 15 Aug, 2019, 01:26: PM
Expert Answer
find the greatest number that divides 16137, 27225 and 25209 leaving 9 as a remainder. Please show steps
we need remainder 9
so we will subtract 9 from each no.
16128, 27216, 25200
Now find the HCF
Prime factorization of the numbers:
16128 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7
27216 = 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7
25200 = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7
HCF(16128, 27216, 25200)
= 2 × 2 × 2 × 2 × 3 × 3 × 7
= 1008
Answered by Arun | 15 Aug, 2019, 06:31: PM
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