HCF of (2^3 × 3^2 × 5), (2^2 × 3^3 × 5^2 ) and (2^4 × 3 × 5^3 × 7)

What is HCF of (2³×3²×5), (2²×3³×5²), (2⁴×3×5³×7)?

As discussed above, the HCF for (2³×3²×5), (2²×3³×5²), (2⁴×3×5³×7) is 60. Candidates should be aware of the method to find the HCF of such type of numbers. In these type of questions, candidates need to find the prime number first and after that their smallest power. If a candidate has this concept then he or she can solve this question in a minute. 

An expression known as power illustrates repeated multiplication of the same number or factor. The exponent's value depends on how many times the base has been multiplied by itself.

For example - 8 x 8 x 8 can be written as 8³ because 8 is multiplied by itself 3 times. In this case, 3 is the "exponent" or "power" that indicates how many times the number 8 has been multiplied by itself, and 8 is the "base" that denotes the number being multiplied.

Summary:

HCF of (2³×3²×5), (2²×3³×5²), (2⁴×3×5³×7)

The HCF of (2³×3²×5), (2²×3³×5²), (2⁴×3×5³×7) is 60. In these types of questions, candidates must first determine their prime number and then their smallest power. After determining the prime numbers with the smallest power, multiply them to obtain the correct answer.

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