Prime factorization involves rewriting numbers as products
The HCF and the LCM of 1848, 132 and 462 are 66 and 1848 respectively
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]
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
Read more about prime factorization at:
https://brainly.com/question/9523814
