All categories

3 years ago

Explain why the greatest common factor of two numbers is sometimes 1.

Mathematics

2 answers:

Lady_Fox [76]3 years ago

8 0

Step-by-step explanation:

The greatest common factor of two numbers is sometimes 1 when they are coprime to each other.

Coprime numbers are those numbers who are relatively prime.

Now, prime numbers are those numbers who are divisible by 1 and itself only.

So, eventually when we going to find the greatest common factor of two prime numbers it comes out to be 1 only.

For example, we takes two numbers 2 and 5 ,

Factor of 2 = 1,2

Factor of 5= 1,5

So , 1 is only common factor between them.

rjkz [21]3 years ago

5 0

Because one of the numbers can be prime numbers, for example the greatest common factor of 12 and 13 it's 1 because 13 it's a prime number or because they don't have common prime factors.Prime numbers are the numbers who can be divided just by 1 and themselves.

You might be interested in

Natalie practices the piano 588 minutes in 2 weeks. If t represents the total time she

Ostrovityanka [42]

Answer:

T=14D

Step-by-step explanation:

I think? sorry if wrong

4 0

3 years ago

Hector would also like to see a professional sumo tournament while he is there, which would cost him ¥5,488. if the conversion r

Keith_Richards [23]

Based on the exchange rate and Victor's budget, hector can see the sumo tournament and have about $322 left over.

<h3>How to find cost of Victor's tournament?</h3>

Amount with Victor = $380

Conversion rate of US dollars to Japanese yen = 1 : 94.153

Cost of the trip = ¥5,488

Ratio of dollar to Yuan

1 : 94.153 = x : 5,488

1/94.153 = x / 5,488

cross product

1 × 5,488 = 94.153x

5,488 = 94.153x

x = 5,488 / 94.153

x = 58.2881055303601

Approximately,

x = $58

Amount left with Victor = Total money with Victor - amount spent

= $380 - $58

= $322

Learn more about ratio:

brainly.com/question/2328454

#SPJ4

8 0

2 years ago

Given points A (-3,-4) and B (2,0), points P (-1,-12/5) partitions line AB in the ratio

kvv77 [185]

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
&A&(~ -3 &,& -4~) 
&P&(~ -1 &,& -\frac{12}{5}~)
\end{array}
\\\\\\
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
AP=\sqrt{[-1-(-3)]^2+[-\frac{12}{5}-(-4)]^2}
\\\\\\
AP=\sqrt{(-1+3)^2+(-\frac{12}{5}+4)^2}\implies AP=\sqrt{2^2+\left( \frac{8}{5} \right)^2}
\\\\\\
AP=\sqrt{4+\frac{64}{25}}\implies AP=\sqrt{\cfrac{164}{25}}\implies AP=\cfrac{\sqrt{164}}{\sqrt{25}}
\\\\\\
\boxed{AP=\cfrac{2\sqrt{41}}{5}}$

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
&P&(~ -1 &,& -\frac{12}{5}~) 
&B&(~ 2 &,& 0~)
\end{array}
\\\\\\
PB=\sqrt{[2-(-1)]^2+[0-\left(-\frac{12}{5} \right)]^2}
\\\\\\
PB=\sqrt{(2+1)^2+\left( \frac{12}{5} \right)^2}\implies PB=\sqrt{9+\frac{144}{25}}\implies PB=\sqrt{\cfrac{369}{25}}
\\\\\\
PB=\cfrac{\sqrt{369}}{\sqrt{25}}\implies \boxed{PB=\cfrac{3\sqrt{41}}{5}}$

so, let's check the ratio of AP:PB

$\bf AP:PB\implies \cfrac{AP}{PB}\implies \cfrac{\frac{2\sqrt{41}}{5}}{\frac{3\sqrt{41}}{5}}\implies \cfrac{2\underline{\sqrt{41}}}{\underline{5}}\cdot \cfrac{\underline{5}}{3\underline{\sqrt{41}}}\implies \cfrac{2}{3}$

7 0

3 years ago

Using the elimination method to solve <br> 2 x-y=8<br> x + y = 20

Pepsi [2]

Step-by-step explanation:

2x-y=8

x+y=20

------------

3x=28

×=28÷3=9.3

9.3+y=20

y=20-9.3

y=20.7

7 0

3 years ago

PLS HELP WILL GIVE BRAINLEST AND THANKS!!!!!!!!!!!

Stels [109]

Answer: 2 1/4 more flour for 9 servings

Step-by-step explanation: (a) how many total cups of flour are there per serving? show your work

1 1/2÷6= 3/2 x 1/6 = 3/12= 1/4 cups of flour per serving

(b) how many total cups of sugar (white and brown) are there per serving?show your work

3/4 + 1/3 = 9/12 + 4/12= 13/12= 1 1/12 total cups of sugar

13/12 ÷ 6/1 = 13/12 x1/6 = 13/72 per serving

(c) supposed you modify the recipe so that it makes 9 servings. How much more flour do you need for the modified recipe than you need for the original recipe?Show your work/

1/4 x 9 = 9/4 = 2 1/4 more flour for 9 servings.

8 0

2 years ago

Read 2 more answers