Question

Find the HCF of 144,108,216

Answer 1

Method 1
Factors of all three numbers are
144= 2×2×2×2×3×3
108 = 2×2×3×3×3
216 =2×2×2×3×3×3
so highest common factor is 2×2×3×3 = 36

Method 2

108)144(1
       -108
          36

36)216( 6
    -216
     000

so the HCF is 36