1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
BlackZzzverrR [31]
3 years ago
11

What are the greatest common divisors of these pairs of integers?a. 3⁷. 5³. 7³,2ⁱⁱ.3⁵.5⁹b. 11.13.17, 2⁹.3⁷.5⁵.7³c. 23³ⁱ,23ⁱ⁷d. 4

1.43.53.41.43.53e. 3ⁱ³. 5 ⁱ⁷.2ⁱ².7²ⁱf. 1111,0
Mathematics
1 answer:
KatRina [158]3 years ago
5 0

Answer:

a) 3⁵5³.

b) 1

c) 23³

d) 41·43·53

e) 1

f) 1111

Step-by-step explanation:

The greatest common divisor of two integers is the product of their common powers of primes with greatest exponent.

For example, to find gcd of 2⁵3⁴5⁸ and 3⁶5²7⁹ we first identify the common powers of primes, these are powers of 3 and powers of 5. The greatest power of 3 that divides both integers is 3⁴ and the greatest power if 5 that divides both integers is 5², then the gcd is 3⁴5².

a) The greatest common prime powers of 3⁷5³7³ and 2²3⁵5⁹ are 3⁵ and 5³ so their gcd is 3⁵5³.

b) 11·13·17 and 2⁹3⁷5⁵7³ have no common prime powers so their gcd is 1

c) The only greatest common power of 23³ and 23⁷ is 23³, so 23³ is the gcd.

d) The numbers 41·43·53 and 41·43·53 are equal. They both divide themselves (and the greatest divisor of a positive integer is itself) then the gcd is 41·43·53

e) 3³5⁷ and 2²7² have no common prime divisors, so their gcd is 1.

f) 0 is divisible by any integer, in particular, 1111 divides 0 (1111·0=0). Then 1111 is the gcd

You might be interested in
Need help fast!! Mark brainliest
Svetach [21]

Alrighty Daniel I think I've figured it out for you. A and B are 55° each, and then C is 70°. Hope I've helped!!

3 0
3 years ago
Area= 18yd squared, length= 6yd<br> width=
GenaCL600 [577]

Answer:

The width is 3 yds

Step-by-step explanation:

Area = length * width

18 = 6*w

Divide each side by 6

18/6 = 6w/6

3=w

The width is 3 yds

7 0
3 years ago
Factorise fully the following:<br>a) x² + 2x<br>b) 2x² - 6x<br>c) 15x - 10x³<br>d) 9x² + 3x³​
Lostsunrise [7]

Answer:

a) x(x+2)

b) 2x(x-3)

c) 5x(3-2x^2)

d) 3x^2(3+x)

Step-by-step explanation:

a) x^2+2x

When factoring a binomial (a polynomial with two terms), what we will be looking for are the terms that are shared between them.

In this problem, it can be seen that both of these terms have and x. This means that we can factor it out to get

x(x+2)

b) 2x^2-6x

What are the common terms here?

It can be seen that each of these share a 2x, so our factored form would be

2x(x-3)

c) 15x-10x^3

What about this one?

The common factor of this one is 5x, so our factored form would be

5x(3-2x^2)

d) 9x^2+3x^3

The common factor of this one is 3x^2, so our factored form would be

3x^2(3+x)

6 0
3 years ago
A regular decagon has a radius of 8 cm.
svp [43]

Answer: 188 cm² I think that's it

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
I BEG YOU IF YOU AWNSER CORRECTLY I WILL GIVE 6$ PAYPAL
zloy xaker [14]

Answer: BAHAHAHAHHA I ACTAULLY KNOW IT IT IS K=4

3 0
3 years ago
Other questions:
  • 5. Michelle and her 2 pets moved into a new apartment. The management charges a non-
    8·1 answer
  • The weight in pounds of a baby in the first six months of life can be modeled by the
    15·1 answer
  • Find the value of X.
    7·1 answer
  • There are 27 questions on an algebra test. All of the questions are multiple choice or constructed response. The number of const
    6·1 answer
  • Marshall works at an animal shelter. He makes sure all the cats are vaccinated. In July, 56 of the cats entering the shelter had
    14·1 answer
  • Nvm, I got the answer.
    5·1 answer
  • A recipe use 5 cups of flour for every 2 cups of sugar .a.how much sugar is used for 1 cup of flour? b.how much flour is used fo
    10·1 answer
  • Determine the type of triangle that is drawn below. PLZZ ASAP
    7·1 answer
  • A rocket is launched into the air the height in yards of the rocket is a function of time in seconds as shown in the following t
    7·1 answer
  • What are the zeros of the f(x)=x(x-9)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!