Question

find greatest number that divide 65 97 and 145 living 3 as a reminder​

Answer 1

Answer:

$145 - 65 =80\\145 - 81 = 64\\81 - 65 =16$

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.

Concept:

Dividend = Quotient* Divisor + Remainder

Dividend is given, the remainder has to be the same for all dividends, hence divisor is the hcf. From the above equation, we can see that if we subtract our dividends , we get such a number that is exactly divisible by 'divisor'. (since remainders are same, they cancel out on subtraction)

Answer 2

Answer:

21.666666666666, 32.333333333, 48.33333333333

Step-by-step explanation: