If the HCF of 408 and 1032 is expressible in the form 1032m - 408 x 5. Find m.

We have to find out the HCF

1032=408×2 + 216 408

=216×1 + 192 216

=192×1 + 24 192

=24×8 + 0 so,

now since the remainder has come zero so the hcf will be 24

if we put hcf=1032-408×5

1032m-408×5=24

1032m-2040=24

1032m=24+2040

⇒2064 m

=2064÷1032⇒2

2 is the value of m.