Question

Find the greatest number which divides by 155 255 and 205 leaving 5 as remainder in each case

Answer 1

Answer:

Greatest number is 50.

Step-by-step explanation:

As per the question,

We have been provided that there are three numbers,

155, 205, 255

We need to find out the number which divides these numbers and leave the remainder 5 in each case.

So,

The concerned number must be dividing the numbers,

(155 – 5 = 150), (205 – 5 = 200) and (255 – 5 = 250) completely.

So,

On calculating the HCF of the numbers 150, 200 and 250, we find that,

150 = 2 × 3 × 5 × 5

200 = 2 × 2 × 2 × 5 × 5

250 = 2 × 5 × 5 × 5

So,

HCF is = 2 × 5 × 5 = 50

Therefore, the greatest number which divides 155, 205 and 255 and get 5 as remainder in each case is 50.