Question

find the greatest number that will divide 65,81 and145 laeving the same reaminder in each case.

Answer 1

16 is the greatest number that divides 65,81,145 to leave same remainder.

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Answer 2

Answer:

16.

Step-by-step explanation:

145 - 65 =80

145 - 81 = 64

81 - 65 =16

now find the HCF of 80,64,16

80 = 16*5 = 2*2*2*2*5

64=2*2*2*2*2*2

16=2*2*2*2

So HCF is 16.

16 is the greatest number that divides 65,81,145 to leave same remainder.

( Dividend = Quotient* Divisor + Remainder. )

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