Question

What is the greatest number which divides 24, 28, 34 and leaves the same remainder in each case?

Answer 1

4 is the largest number and gives remainder 0
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Answer 2

The greatest number that divides the numbers 24,28,34 and leaves same remainder as 0 is the number 2.

Step-by-step explanation:

Given:

What is the greatest number which divides 24, 28, 34 and leaves the same remainder in each case?

Solution:

The given numbers are even numbers ,

24 = $2 \times 2 \times 2 \times 3$

28 = $2 \times 2 \times 7$

34 = $2 \times 17$

All are divided by 2 leaving a remainder 0

The largest number other than 2 is 4, which divides the numbers 24 and 28 by leaving a remainder 0 . But, by dividing the number 34, it leaves the remainder as 2.

So, the greatest number that divides the numbers 24,28,34 and leaves same remainder as 0 is the number 2.

To know more;

Find the smallest number which when divided by 28 and 32 leaves remainder 8 and 12 respectively.

https://brainly.in/question/2321970