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Sagot :
Prime factorization involves rewriting numbers as products
The HCF and the LCM of 1848, 132 and 462 are 66 and 1848 respectively
How to determine the HCF
The numbers are given as: 1848, 132 and 462
Using prime factorization, the numbers can be rewritten as:
[tex]1848 = 2^3 * 3 * 7 * 11[/tex]
[tex]132 = 2^2 * 3 * 11[/tex]
[tex]462 = 2 * 3 * 7 * 11[/tex]
The HCF is the product of the highest factors
So, the HCF is:
[tex]HCF = 2 * 3 * 11[/tex]
[tex]HCF = 66[/tex]
How to determine the LCM
In (a), we have:
[tex]1848 = 2^3 * 3 * 7 * 11[/tex]
[tex]132 = 2^2 * 3 * 11[/tex]
[tex]462 = 2 * 3 * 7 * 11[/tex]
So, the LCM is:
[tex]LCM = 2^3 * 3 * 7 * 11[/tex]
[tex]LCM = 1848[/tex]
Hence, the HCF and the LCM of 1848, 132 and 462 are 66 and 1848 respectively
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