Question

Find the greatest number which will divide 3962,4085and 4167 leaving the same remainder in each case

Answer 1

Answer:

Greatest number = 41

Explanation:

We have to find Greatest Factor

In this case , we have to find HCF with remainder ( no mention of remainder in question)

Step 1:    Find the Differences of numbers

Step 2: Get the HCF ( that differences)

We have here 3962, 4085 and 4167

So differences are

4167 - 4085 = 82

4167 - 3962 = 205,

4085 - 3962 = 123.

Now

HCF (82, 123 and 205)

As

82 = 2 x 41

123 = 3 x 41

205 = 5 x 41

HCF = 41.

And 41 is the required number.

Answer 2

Answer:41

Step-by-step explanation:

Take difference of consecutive numbers and again take the difference of the remaining digits.

3962

---------------------------123

4085                            ----------------------41

----------------------------82

4167