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Find the greatest common factor of 10m³n², 30mn³ and 45mn​

Sagot :

Answer and step-by-step explanation:

  • The Greatest Common Factor (GCF) of a set of polynomials is the largest monomial that is a factor of all those polynomials.

  • To find it easier, we just have to find the common factors of the coefficients first and then the variables.

  • One of the ways in solving this faster is we just have to choose the common variable with the lowest exponent as part of the GCF.

10m³n², 30mn³ and 45mn

10 = 1 × 10, 2 × 5

30 = 1 × 30, 2 × 15, 3 × 10, 6 × 5

45 = 1 × 45, 3 × 15, 9 × 5

Therefore, the GCF of the given polynomials is 5mn.

*If you have any questions regarding my answer, please comment below and I will answer them. ^^