Question

If HCF of 14 and 180 is expressed in the form 13m – 16. Find the value of m.

Answer 1

Answer:144 = 2 ^ 4 * 3 ^ 2

180= 2 ^ 2 * 5 * 3 ^ 2

∴H.C.F ( 180,144) = 2 ^ 2 * 3 ^ 2 = 4 * 9 = 36

∴13m - 3 = 36

⇒13m = 39

⇒m = 3

∴m = 3

Step-by-step explanation: