Question

1. If HCF of 432 and 3840 can be expressed as 432 x p – 3840. Find the value of p.

Answer 1

Step-by-step explanation:

Given -

• HCF of 432 and 3840 can be expressed as 432p - 3840

To Find -

• Value of p

At first, we need to find the HCF of 432 and 3840 :-

→ 432 = 2×2×2×2×3×3×3

3840 = 2×2×2×2×2×2×2×3×2×5

HCF(432,3840) = 2×2×2×2×3

→ 48

Now, Expressing it in the form of 432p - 3840, we get :

→ 432p - 3840 = 48

→ 432p = 3840 + 48

→ 432p = 3888

→ p = 3888/432

→ p = 9

Hence,

The value of p is 9.

Answer 2

3840 = 432×8+384

432 = 384×1+48

384 = 48×8+0

H.C.F. = 48

432×p-3840 = 48

p = 48+3840/432

p = 9