Question

Find the GCD of the following

Answer 1

solution:-

given by:- seems attch

GCD =GCD (Greatest Common Divisor) or HCF (Highest Common Factor) of two numbers is the largest number that divides both of them.

Answer 2

GCD (Greatest Common Divisor) or HCF (Highest Common Factor) of two numbers is the largest number that divides both of them. For example GCD of 20 and 28 is 4 and GCD of 98 and 56 is 14.

( 1 ) . c² - d² , c(c - d)

(c - d)(c + d) , c(c - d)

gcd = (c - d)


( 2 ) . (x⁴ - 27a³x , (x - 3a)²

x(x³ - 27a³) , (x - 3a)²

x(x - 3a)(x² + 9a² + 3ax) , (x - 3a)(x - 3a)

gcd = (x - 3a)



( 3 ). m² - 3m - 18 , m² + 5m + 6

(m² - 6m + 3m - 18) , (m² + 3m + 2m + 6)

[m(m - 6) + 3(m - 6)] , [m(m + 3) + 2(m + 3)]

(m + 3)(m - 6) , (m + 3)(m + 2)

gcd = (m + 3)


( 4 ) . x² + 14x + 33 , x³ + 10x² - 11x

(x² + 11x + 3x + 33) , x(x² + 11x - x - 11)

[x(x + 11) + 3(x + 11)] , x[x(x + 11) - 1(x + 11)]

(x + 3)(x + 11) , x(x - 1)(x + 11)

GCD = (x + 11)

( 5 ). x² + 3xy + 2y² , x² + 5xy + 6y²

(x² + 2xy + xy + 2y²) , (x² + 3xy + 2xy + 6y²)

[x(x + 2y) + y(x + 2y)] , [x(x + 3y) + 2y(x + 3y)]

(x + y)(x + 2y) , (x + 2y)(x + 3y)

GCD = (x + 2y)