HCF/LCM using Prime Factors (Junior Cert Mathematics): Quizzes

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HCF/LCM using Prime Factors
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What is the HCF (Highest Common Factor)?

Largest number dividing numbers w/o remainder

What is the LCM (Lowest Common Multiple)?

Smallest number that is a multiple of all

What is a prime number?

A number divisible by 1 and itself only

What are the prime factors of 1212?

22 and 33

When finding prime factors, which prime number should you start with?

The smallest prime number, which is 22

What is 6060 written as a product of its prime factors?

22×31×512^2 \times 3^1 \times 5^1

To find the HCF using prime factors, which power do you take?

The lowest power in all factorisations

To find the LCM using prime factors, which power do you take?

The highest power in any factorisation

What is the prime factorisation of 8080?

24×512^4 \times 5^1

What is the HCF of 6060 and 8080?

2020

What is the LCM of 6060 and 8080?

240240

What is a practical use of the HCF?

Simplifying fractions

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