Question

8) Find the greatest number that will divide 219, 267 and 315, leaving the remainder
3 in each case.​

Answer 1

Answer:

24

Step-by-step explanation:

To find the greatest no. which divides the numbers given with leaving 3 behind as remainder, we will have to subtract 3 from each and then find there HCF.

216 = 2×2×2×3×3×3

264 = 2×2×2×3×11

312 = 2×2×2×3×13

So the HCF is 2×2×2×3 viz., 24

Hence, 24 is the required number.