Question

8. HCF of 5m3 n2 and 10m4 n3 is
(a) mn2 (b) 5m3 n (c) 5m3 n2 (d) 10m

Answer 1

Given,

The given terms are = 5m³n² and 10m⁴n³

To find,

The HCF or Highest Common Factor of the given terms.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

First of all we have to do the prime factorization,

First term = 5m³n² = 5×m×m×m×n×n

Second term = 10m⁴n³ = 5×2×m×m×m×m×n×n×n×n

Common factors = 5,m,m,m,n,n

HCF or Highest Common Factor = 5×m×m×m×n×n = 5m³n²

Hence, the HCF will be 5m³n².