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That process helps to simplify your multiplication. If you have a problem such as (27/18)*4, instead of computing 27*4 then dividing that by 18 and simplifying, there is a much easier way to do it.

Divide both top and bottom by 9 to get (3/2)*4. Cancel the 2 in the denominator and the 4 that is being multiplied to get 3*2. The resulting answer is 6.

Notice how there were no big computations to deal with. This helps especially if you are computing all these numbers by hand or in your head.

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Q: What is the the benefit of dividing out greatest common factors before multiplying?
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Why would you want to factor each expression before multiplying or dividing 2 rational expressions?

In both cases, you may be able to cancel common factors, thus simplifying the expression.


Greatest common factor life application?

One common application of greatest common factors is to simplify fractions. Note that you don't necessarily need the GREATEST common factor; you can simplify by dividing both numbers by any common factor, and then continue looking for additional factors.


What is the greatest common factor of 289 and 589?

1 One way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 289 are 1, 17, and 289. The factors of 589 are 1, 19, 31, and 589. The common factors are 1. Therefore, the greatest common factor is 1; they are relatively prime. The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. The prime factors of 289 are 17 and 17. The prime factors of 589 are 19 and 31. There are no prime factors in common, which means they are relatively prime, so the greatest common factor is 1.


How are divisors and factors alike?

They're just different words for the same thing.


What is the greatest common factors of 12 and 32?

The GCF of 12 and 32 is: 4.One way to determine the greatest common factor is to find all the factors of the numbers and compare them.The factors of 12 are 1, 2, 3, 4, 6, and 12.The factors of 32 are 1, 2, 4, 8, 16, and 32.The common factors are 1, 2, and 4. Therefore, the greatest common factor is 4.The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.The prime factors of 12 are 2, 2, and 3.The prime factors of 32 are 2, 2, 2, 2, and 2.The prime factors in common are 2 and 2, so the greatest common factor is 2 x 2 = 4.

Related questions

What is the relationship between factors and divisors?

They are different terms for the same thing. Call them factors when you're multiplying and divisors when you're dividing. So it is just like dividing


Why does the number of negative factors affect the signs of the product in math equations?

Multiplying or dividing a positive and negative gives a negative result. Multiplying or dividing two negatives gives a positive result.


Are factors and divisors the same?

Factors are numbers that produce a product when multiplied together. A divisor is a number that produces a product when multiplied by a quotient, which is also a factor. When you're dividing, you call them divisors and when you're multiplying you call them factors, but they're just different words for the same thing.


Why is it beneficial to simplify before multiplying or dividing?

Cancelling out common factors means you are working with smaller numbers. It is usually, but not always, beneficial.


Is a divisor a factor?

When you're dividing, you call them divisors and when you're multiplying you call them factors, but they're just different words for the same thing.


Factors of a number are the divisors as well Explain?

There's not a lot to explain. They're different words for the same thing. When you're multiplying, you call them factors. When you're dividing, you call them divisors.


What is the greatest product you can make by multiplying a 3 digit number by a 1 digit number what are your factors?

999 x 9 = 8991


What is the greatest common factor of 35 and 42?

The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. The prime factors of 35 are 5 and 7. The prime factors of 42 are 2, 3, and 7. The common prime factors are a single 7, so the greatest common factor is 7.


To find the value of powers by multiplying the factors?

Evaluate is to find the value of powers by multiplying the factors.


What is the greatest common factor of 138 and 322?

The greatest common factor can be calculated by identifying the common prime factors and multiplying them together. The prime factors of 138 are 2, 3, and 23. The prime factors of 322 are 2, 7, and 23. The prime factors in common are 2 and 23, so the greatest common factor is 2 x 23 = 46.


What is the greatest common factor of 22 and 55?

The factors of 22 are 1, 2, 11, and 22. The factors of 55 are 1, 5, 11, and 55. The common factors are 1 and 11. Therefore, the greatest common factor is 11. The greatest common factor can also be find by determining the prime factors and multiplying the common prime factors together. The prime factors of 22 are 2 and 11. The prime factors of 55 are 5 and 11. The common prime factors are a single 11, so the greatest common factor is 11.


What is the greatest common factor of 30 and 1224?

The greatest common factor can be calculated by identifying the common prime factors and multiplying them together. The prime factors of 30 are 2, 3, and 5. The prime factors 1224 are 2, 2, 2, 3, 3, and 17. The prime factors in common are 2 and 3, so the greatest common factor is 2 x 3 = 6.