Question

Find the greatest number that divides 149 and 101, leaving a remainder of 5 in each case.

Answer 1

Answer:

48 is greatest number which divides both number 149 and 101 and leaving remainder 5.

Step-by-step explanation:

Let us take two numbers as N and M

N = 149 – 5 = 144

M = 101 – 5  = 96

Now subtracting 5 from the number we get 144 and 96.

Now to find largest number which divides both the number and to leave remainder 5 , HCF can be used.

Using factorization method we get  

144= 2x2x2x2x3x3

96=2x2x2x2x2x3

Common factors are 2x2x2x2x3=48