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tatyana61 [14]
3 years ago
15

Find the greatest common factor for the group of numbers. 12 ​, 28 ​, 24

Mathematics
1 answer:
irakobra [83]3 years ago
8 0
The greatest common factor, or GCF, is quite self-explanatory. Between two numbers, you have to find the greatest number that can be divided by both numbers without any remainder. This is useful in solving addition and subtraction operations involving fractions. The technique to do this is to place the numbers to the right. Then, place the factors to the left. I'm gonna show the solution so that you can understand better.

  4   |   12    28    24
       ----------------------
       |     3     7      6
       ----------------------

Since all numbers can be divided by 4, you place it on the left side. Then, place the quotients on the next row below. Since, there is no more common factor, it ends with the 2nd row. Then, multiply all the left numbers with the numbers in the very last column.

GCF = 4×3×7×6
GCF = 504
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aksik [14]
<h3>Answer:</h3>

6 hours

<h3>Step-by-step explanation:</h3>

The two hoses together take 1/3 the time (4/12 = 1/3), so the two hoses together are equivalent to 3 of the first hose.

That is, the second hose is equivalent to 2 of the first hose. Two of the first hose could fill the vat in half the time one of them can, so 6 hours.

The second hose alone can fill the vat in 6 hours.

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The first hose's rate of doing work is ...

... (1 vat)/(12 hours) = (1/12) vat/hour

If h is the second hose's rate of doing work, then working together their rate is ...

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... h = 1/6 vat/hour

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It takes value from a user and then user the operation of (+,-,*/).

i used c++ programming language to solve this program:

#include<iostream>

using namespace std;

int main() {

int var1, var2;

char operation;

cout << "Enter the first number : ";

cin >> var1;

cout << endl;

cout <<"Enter the operation to be perfomed : ";

cin >> operation;

cout << endl;

cout << "Enter the second nuber : ";

cin >> var2;

cout << endl;

bool right_input = false;

if (operation == '+') {

cout << var1 << " " << operation << " " << var2 << " = " << (var1 + var2);

right_input = true;

}

if (operation == '-') {

cout << var1 << " " << operation << " " << var2 << " = " << (var1 - var2);

right_input = true;

}

if (operation == '*') {

cout << var1 << " " << operation << " " << var2 << " = " << (var1 * var2);

right_input = true;

}

if (operation == '/' && var2 != 0) {

cout << var1 << " " << operation << " " << var2 << " = " << (var1 - var2);

right_input = true;

}

if (operation == '/' && var2 == 0) {

cout << "Error. Division by zero.";

right_input = true;

}

if (!right_input) {

cout << var1 << " " << operation << " " << var2 << " = " << "Error;";

cout << "Invalid Operation!";

}

cout << endl;

system("pause");

return 0;

}

7 0
2 years ago
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