Question

A number was divided by 97;the quotient was 286 and the remainder was 14 .Find the number

Answer 1

Explanation:

Easiest explanation of your question…

Let the number be y .

If we divide it by 296 remainder is 75 and let quotient be x .

i.e- y=296x+75........................Eq−1

Put x=1

So, y=296+75=371

Use it to get our answer…

When we divide 371 by 37 , Quotient is 10 .

Remainder =371−37∗10

=371−370

=1

Therefore your answer is 1 . It will remain same for all values of x in Eq−1 and you can verify it by putting the values of x=2,3 and whatever you want…

Thanks For Reading…

Answer 2

Explanation:

We use the repeated division method for finding highest common factor (H.C.F) of two or more numbers. To find highest common factor by using division method we follow these steps:

Step I: Divide the large number by the smaller one.

Step II: Divide the large number by the smaller one. Step II: Then the remainder is treated as divisor and the divisor as dividend

Step III:Divide the first divisor by the first remainder.

Step IV:Divide the second divisor by the second remainder.

Step V:Continue this process till the remainder becomes 0.

Step VI:The divisor which does not leave a remainder is the H.C.F. or G.C.D. of the two numbers and thus, the last divisor is the required highest common factor (H.C.F) of the given numbers.

Let us consider some of the examples to find highest common factor (H.C.F) by using division method.