Question

Find the largest number which divides 133 and 245 leaving a remainder 5 in each case.

Answer 1

Answer:

16

Step-by-step explanation:

133-5=128

245-5=240

128=2×2×2×2×2×2×2

245=2×2×2×2×3×5

HCF=2×2×2×2=16

So, the largest number which divides 133 and 245 leaving a remainder 5 in each case is 16.

Answer 2

Answer:

Step 1 -

Subtract the remainder with the two numbers

133 - 5 = 128

245 - 5 = 240

Step 2 -

Find the HCF ( or GCF ) of the Subtracted number , that is 240 and 128

HCF ( Or GCF ) of 240 and 128 is = 16

Therefore , the largest number which divides 133 and 245 leaving a remainder 5 in each case is 16