Question

The highest common factor of 2x2 yz, 4xy2 z, 8xyz2​

Answer 1

Given Algebraic Expressions:-

• 
  `\sf 2x^2yz`
• 
  `\sf 4xy^2z`
• 
  `\sf 8xyz^2`

Solution:-

`\longrightarrow`Let us write all expression in factorised form .

• 
  `\sf 2x^2yz = \underline{2}* \underline{x} * x * \underline{y} * \underline{z}`
• 
  `\sf 4xy^2z= \underline{2} * 2 * \underline{x} * \underline{y} * y * \underline{z}`
• 
  `\sf 8xyz^2= \underline{2} * 2 * 2 * \underline{x}* \underline{y} * \underline{z} * z`

`\leadsto` Common factors are 2,x,y,z and their product will give us highest common factor

`\implies \sf 2* x* y * z`

`\implies \sf 2xyz`