Find the $\mathrm{H}.\mathrm{C}.\mathrm{F}$ of the following numbers using prime factorization method:

$84, 120,138$

Find the $\mathrm{H}.\mathrm{C}.\mathrm{F}$ of the following numbers using prime factorization method:

$106, 159$ and $265$

What is the $\mathrm{H}.\mathrm{C}.\mathrm{F}$ of two consecutive numbers$?$

What is the $\mathrm{H}.\mathrm{C}.\mathrm{F}$ of two consecutive even numbers$?$

What is the $\mathrm{H}.\mathrm{C}.\mathrm{F}$ of two consecutive odd numbers$?$

$\mathrm{H}.\mathrm{C}.\mathrm{F}$of co-prime numbers $4$ and $15$ was found as follow:

$4=2 \times 2$ and $15=3 \times 5$

Since there is no common prime factor. So,$\mathrm{H}.\mathrm{C}.\mathrm{F}$ of$4$and $15$is$0$. Is the answer correct? If not, what is the correct$\mathrm{H}.\mathrm{C}.\mathrm{F}$?

Determine the $\mathrm{H}.\mathrm{C}.\mathrm{F}$of the following numbers by using Euclid's algorithm:

$300, 450$

Determine the$\mathrm{H}.\mathrm{C}.\mathrm{F}$ of $399$ and $437$ by using Euclid's algorithm.

Determine the $\mathrm{H}.\mathrm{C}.\mathrm{F}$ of the following numbers.

$1045, 1520$