Lesson 9ª

 

 

 

 

 

   

TO FIND THE H.C.D. FOR SEVERAL NUMBERS, WE TAKE THE COMMON FACTORS WITH THE LOWEST EXPONENT

3.55   Let's calculate the h.c.d. (360, 5400, 15120)

We will break down each one of them:                       

q

The common denominators with lower exponents are:

w

The h.c.d. (360, 5400, 15120) = 360

3.56 Calculate the h.c.d. (315, 945, 1575)

3.57 Calculate the h.c.d. (3465, 6615, 7875)

3.58 Calculate the h.c.d. (6930, 13230, 15760)

3.59 Calculate the h.c.d. (1750, 1960, 3080)

3.60 Calculate the h.c.d. (85, 96, 100, 225)

Answers:       

3.56

e

r

3.57

t

y

3.58   Up to this point in the course, we should have problems breaking up numbers, so we can show the final result:

u

3.59

i

3.60

o

We can notice that there is no common denominator for the 4 numbers.
Only the number 1 can be a common denominator.

We can say that:
                               h.c.d. (85, 96, 100, 225) = 1