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3 years ago

What is the greatest common factor of 19x7 and 3x5?

Mathematics

1 answer:

Gemiola [76]3 years ago

7 0

The greatest common factor of two numbers is, as the name suggests, the greatest integer that divides both numbers.

You number are already factored in product of primes, so it is obvious that the first number 133 = 19x7 is divisible by 1, 7, 19 and 133.

The same goes for 15 = 3x5: it is divisible by 1, 3, 5 and 15.

As you can see, there is no non-trivial divisor which is common to both number, so the answer is 1

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Answer:

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Step-by-step explanation:

Given that:

Number of gumdrops = 420

Number of chocolate bars = 280

Total Number of candies = 700

To find:

The ratio of candies to chocolate bars = ?

Solution:

First of all, let us discuss the method to find the ratio of any two quantities.

Suppose, we need to find the ratio of two numbers $p$ and $q$ .

Then to find the ratio $p:q$ , we need to divide p by q and represent it in the simplest form $\frac{a}{b}$ such that a and b can not be divided further.

Here, to find the ratio of candies to chocolate bar:

$Ratio = \dfrac{\text{Number of candies}}{\text{Number of chocolate bars}}\\\Rightarrow \dfrac{700}{280}$

Here, we can simplify the fraction by dividing the numerator and denominator by 10 first:

$\dfrac{70}{28}$

Now, let us divide the numerator and denominator by 14:

$\dfrac{5}{2}$

So, the ratio is <em>5 : 2</em>

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