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# Exercise 3.9: Greatest Common Divisor (GCD)

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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, am+2, am+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

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