Question

What is the largest number which divides 150, 180 and 144 leaving the same remainder in each case?

Answer 1

,HCF (180-150,180-144,150-144)
HCF(30,36,6)=6

Answer 2

Answer: The largest number would be 6.

Step-by-step explanation:

Since we have given that

150, 180, and 144.

We need to find the largest number which divides the above numbers and leaves the same remainder in each case.

Since the remainder is not given but the remainder is same.

So, we find the HCF of the differences of the numbers.

180-150 = 30

180 - 144 = 36

150 -144 = 6

So, H.C.F. of 30, 36, and 6 = 6

Hence, the largest number would be 6.