Question

If the HCF of 144 and 180 is expressed in form of 13p - 3 find value of p

Answer 1

Number 144 = 2⁴ * 3²

Number 180= 2² * 3² * 5

∴H.C.F ( 180,144) = 2² * 3²= 4 * 9 = 36

Given HCF = 13p - 3

13p - 3 = 36

⇒13p = 39

⇒p = 3

∴p = 3

Answer : p = 3