Exercise 3.9: Greatest Common Divisor (GCD)

Greatest Common Divisor (GCD)

Exercise 3.9

1. Find the GCD for the following:

(i) p ⁵ , p¹¹, p⁹

(ii) 4x ³ , y³, z ³

(iii) 9a ²b²c ³ , 15a ³b ²c⁴

(iv) 64x ⁸ , 240x ⁶

(v) ab²c ³ , a²b ³c, a ³bc²

(vi) 35x ⁵y³z ⁴ , 49x ²yz ³ , 14xy²z ²

(vii) 25ab³c, 100a ²bc, 125ab

(viii) 3abc, 5xyz, 7pqr

2. Find the GCD of the following:

(i) (2x + 5), (5x + 2)

(ii) a ^{m +1}, a^m+2, a^m+3

(iii) 2a ² + a , 4a² −1

(iv) 3a ² , 5b³, 7c⁴

(v) x ⁴ − 1, x² -1

(vi) a ³ − 9ax ² , (a − 3x)²