3a²b⁴c³, 12a³b²c, 6a⁴bc² এর গ.সা.গু. নিচের কোনটি?

The answer to the question is 3a²bc because it represents the greatest common divisor (গ.সা.গু.) of the given expressions: 3a²b4c³, 12a³b²c, and 6a⁴bc².

To find the greatest common divisor, we look for the lowest power of each variable and the common factors among the coefficients:

    
• Coefficients: The coefficients are 3, 12, and 6. The greatest common divisor of these numbers is 3.
    
• For a: The lowest power is a² (since the minimum of 2, 3, and 4 is 2).
    
• For b: The lowest power is b (since the minimum of 4, 2, and 1 is 1).
    
• For c: The lowest power is c (since the minimum of 3, 1, and 2 is 1).

When we combine these factors, we get 3a²bc, which is indeed the highest possible common factor shared by all three expressions.

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