What does gcf and LCM means?

Answer 1

gcf implies greatest common factor or divisor(gcd) while LCM mean least common multiple.given two integers a and b (a,b) will denote the positive gcf of the integers.Thus 2=(2,4 )=(-2,4)=(-2,-4)=(2,4).Also, for any integer a and b, we have that (a,-b)=(a,b)=(-a,b)=(-a,-b)=(b,a).

Similarly, any two non-zero integer a and b have a positive gcd(a,b), and also have a least positive common multiple(LCM). The LCM is denoted by [a,b] i.e a square bracket. note that for gcd, we use an ordinary bracket.

It is also worth to know the relationship between gcd and LCM.This is given by:

[a,c]=|ac|/( a,c) for any non-zero integers a and c. Take note that |ac| implies the absolute value of a*c.

Thanks.

Ans. by: Olawale O.A