Can someone explain greatest common factor/lowest common multiple to me, in a way that i can understand? because i'm not getting what's being said or how to solve the equation.

my textbook says this:

"the greatest common factor (gcf) of two natural numbers x and y is the largest natural number that is a factor of both x and y, while the least common multiple (lcm) of x and y is the smallest natural number that is a multiple of both x and y.

for instance, the gcf of 18 and 24 is 6, while the lcm is 72. 1. which of the following statements is false? "

(a) the greatest common factor of 5 and 20 is 5.

(b) 100 is a multiple of 5.

(c) 40 divides 120.

(d) the least common multiple of 10 and 20 is 40.

(e) 5 is a factor or 125.

What is the effect on the graph of the parent function f(x) = x when f(x) is replaced with 3f(x)? a) shifts the line 3 units up b) shifts the line 3 units down c) increases the slope of the line by a factor of 3 d) decreases the slope of the line by a factor of 3

The graph represents the gallons of water in a water tank with respect to the number of hours since it was completely filled

The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. complete parts (a) and (b) below. business degrees nonbusiness degrees total male 189131 634650 823781 female 169539 885329 1054868 total 358670 1519979 1878649 (a) find the probability that a randomly selected student is male, given that the student received a business degree. the probability that a randomly selected student is male, given that the student received a business degree, is nothing. (round to three decimal places as needed.) (b) find the probability that a randomly selected student received a business degree, given that the student is female. the probability that a randomly selected student received a business degree, given that the student is female, is nothing. (round to three decimal places as needed.)