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HCF of 84 and 90 - Calculation Methods, Solved Examples & FAQs

Last Updated on Jul 31, 2023
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Discovering the HCF of 84 and 90 reveals that it is 6. The Highest Common Factor (HCF) is the greatest number that can divide two or more numbers without leaving a remainder. Students aiming to master the concept of HCF can refer to our resource on Highest Common Factor

Regularly using this article can help students enhance their problem-solving speed and accuracy. This article provides a simple explanation of how to find the Highest Common Factor of 84 and 90 using prime factorisation, the long division method, and by listing common factors.

Identifying the HCF of 84 and 90

The Highest Common Factor of 84 and 90 is 6. The factors of 84 include 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84, while the factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90. The number 6 is the largest number that perfectly divides both 84 and 90.

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Methods to Determine HCF of 84 and 90

Here are the three methods to find the HCF of 84 and 90:

  • Prime Factorisation
  • Long Division method
  • Listing common factors

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Frequently Asked Questions

The HCF of 84 and 90 is 6.

There are three methods to find the HCF of 84 and 90. They are Prime Factorisation, Long Division Method, and Listing Common Factors.

False. The HCF of 84 and 90 is 6.

The LCM is 1260.

Yes. The HCF of 84 and 90 is 6, and the HCF of 30 and 36 is also 6.
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