Mathematics Class: HCF and LCM Concepts

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Questions and Answers

What does the highest common factor (HCF) represent?

  • The largest multiple of two numbers
  • The smallest factor common to two numbers
  • The largest factor that can divide two or more numbers without a remainder (correct)
  • The product of two numbers

Which statement about the lowest common multiple (LCM) is true?

  • It is always greater than the greatest of the two numbers
  • It is the largest common multiple of two or more numbers
  • It cannot be the same as the largest factor
  • It is the smallest number that can be evenly divided by those numbers (correct)

What relationship exists between the HCF, LCM, and the product of two numbers?

  • HCF times LCM equals the product of the numbers (correct)
  • HCF divided by LCM equals the product of the numbers
  • HCF times LCM equals the sum of the numbers
  • HCF plus LCM equals the product of the numbers

Which of the following statements is NOT correct concerning HCF?

<p>HCF is larger than the largest of the two numbers (A)</p> Signup and view all the answers

Which term is synonymous with the lowest common multiple (LCM)?

<p>Least common divisor (D)</p> Signup and view all the answers

Flashcards

HCF

The largest factor that divides two or more numbers without a remainder, also known as GCF.

LCM

The smallest number that can be divided by two or more numbers without a remainder, also known as least common multiple.

HCF & LCM relationship

The product of HCF and LCM of two numbers equals the product of the numbers themselves.

GCF

Greatest Common Factor, an alternative name for HCF.

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Least Common Divisor

An alternative name for LCM.

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