Question

Find the greatest common divisor of

Answer 1

Hi ,

i ) 7x²yz⁴ , 21x²y^5z³

Write each term as irreducible factors.

7x²yz⁴ = 7.x.x.y.z.z.z.z

21x²y^5z³ = 3 × 7 .x.x.y.y.y.y.y.z.z.z

GCD( 7x²yz⁴, 21x²y^5z³ ) = 7.x.x.y.z.z.z

= 7x²yz³

ii ) x²y, x³y , x²y²

write each term as irreducible factors.

x²y = x.x.y

x³y = x.x.x.y

x²y² = x.x.y.y

GCD = x² y

iii ) 25bc⁴d³, 35b²c^5 , 45c³d

write each term as irreducible factors.

25bc⁴d³ = 5×5 bcccddd

35b²c^5 = 5 × 7 b.b.c.c.c.c.c

45c³d = 3 × 3 × 5 × c.c.c.d

GCD = 5c³d

iv ) 35x^5y³z⁴ , 49x²yz³ , 14xy²z²

write each term as irreducible factors.

35x^5y³z⁴ = 5 × 7 x.x.x.x.x.y.y.y.z.z.z.z

49x²yz³ = 7 × 7 x.x.y.z.z.z

14xy²z² = 2 × 7 x.y.z.z

GCD = 7xyz²

I hope this helps you.

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