Question

Find the common factor of 63m3n and 54m2n4.

Answer 1

Answer: 9$m^{2}$n

Explanation:

To find:

• The common factors of 63m³n & 54$m^{2}$n⁴

Proof:

1. Factors of 63m³n = 3 × 3 × 7 × m × m × m × n
2. Factors of 54$m^{2}$n⁴ = 2 × 3 × 3 × 3 × m × m × n × n × n × n

• Common factors of 63m³n & 54$m^{2}$n⁴=  3 × 3 × m × m × n = 9$m^{2}$n

Hence, proved.

Hope you got that.

Thank You.

Answer 2

Solution:

To find: Common factors between 63m³n and 49m²n⁴.

Factors of 63m³n = 3 × 3 × 7 × m × m × m × n

Factors of 54n⁴ = 2 × 3 × 3 × 3 × m × m × n × n × n × n

• Common factors of 63m³n & 54n⁴ = 3 × 3 × m × m × n

⇒ 3 × 3 × m × m × n = 9m²n

Final answer:

• Common factors between 63m³n and 49m²n⁴ are 9m²n

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