Question

If HCF of 144 and 180 is expressed in the form 13m -16. Find the value of m.

Answer 1

Answer:

m=4

Step-by-step explanation:

HCF of 144 and 180

144=2×2×2×2×3×3

180=2×2×3×3×5

HCF=2×2×3×3=36

13m-16=36

13m=36+16

13m=52

m=52/13

m=4

Therefore, the value of m is 4.

Answer 2

Hey there mate here is your answer

144 = 2^4 x 3^2

180 = 2^2 x 3^2 x 5

HCF = 2^2 x 3^2 = 36

13m - 16 = 36

      13m = 16 + 36

      13m = 52

         m = 52/13

        ∴  m = 4

Thanks...