Find the greatest common factor (GCF/HCF) of the given polynomials: 4

1.	Find the greatest common factor (GCF/HCF) of the given polynomials: 42x2yz and 63x3y2z3
Answer» As we know that the numerical coefficients of given numerical are 42 and 63. Greatest common factor of 42, 63 is 21. Common literals appearing in given numerical are x, y and z Smallest power of x in two monomials is 2 Smallest power of y in two monomials is 1 Smallest power of z in two monomials is 1 Monomials of common literals with smallest power is x²yz ∴ The greatest common factor = 21x²yz

Find the greatest common factor (GCF/HCF) of the given polynomials: 42x2yz and 63x3y2z3

Answer»

As we know that the numerical coefficients of given numerical are 42 and 63.

Greatest common factor of 42, 63 is 21.

Common literals appearing in given numerical are x, y and z

Smallest power of x in two monomials is 2

Smallest power of y in two monomials is 1

Smallest power of z in two monomials is 1

Monomials of common literals with smallest power is x²yz

∴ The greatest common factor = 21x²yz