Question

What is the greatest number that divides 13850 and 17030 and leaves a remainder 17?

Answer 1

Answer:

greatest number is 13833 and 17013

Step-by-step explanation:

greatest number which is divide 13850 and 17030 are

13850 - 17 and 17030 - 17

13833 and 17013

Answer 2

Answer: 159

Step-by-step explanation:

Let the number be x

If x divides 13850 leaves a remainder 17

Then x completely divides 13850- 17 = 13833

Similarly x completely divides 17030 - 17=  17013

Now

13833 = 3 x 3 x 29 x 53

17013= 3 x 53 x 107

There fore HCF = 3 x 53 =  159

Hence, the greatest number which divides 13850 and 17030 and leaves a remainder 17 is 159