Find the hcf of 144 and 180. if it is expressed in the form 13m-3, find the value of m

Step-by-step explanation:

To find the HCF of 144 and 180

By using product of prime method

Firstly express 144 as a product of it prime and express 180 as a product of it prime

140=2*2*2*2*3*3

180=2*2*3*3*5

Common factor = 2*2*3*3

36

in term of m

m=36

13m-3

To find m

Substitute for m when m=36

13 (36) - 3=

465

144 and 180 = 465