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Example: 30 and 42
Factor them.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Select the common factors.
2 x 3 = 6, the GCF
or
The factors of 30 are:
1, 2, 3, 5, 6, 10, 15, 30
The factors of 42 are:
1, 2, 3, 6, 7, 14, 21, 42
The common factors are:
1, 2, 3, 6
The Greatest Common Factor:
GCF = 6
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Who is the Greek mathematician who invented an easier way of finding the GCF?
Euclid is the Greek mathematician who invented an easier way of finding the GCF.
Is there a shortcut to finding gcf of large numbers?
Yes there is
Why is it easier to divide the numerator and denomenator by the gcf rather than any other number when simplifying a fraction?
It is preferable because this is the purpose, the ultimate aim, of simplification. You can only simplify to the extent that the greatest common factor will allow. You can do so in one step by finding the greatest common factor, or you can do so in multiple steps by first dividing by a lower factor (when you are finished you will see that all the lower factors multiply to give the gcf). Sometimes it is easier to do the task in multiple steps rather than searching for the gcf, but if you can identify the gcf then your simplification will be done in just one step.
When finding the GCF of a polynomial can it ever be smaller than the smallest coefficent?
Yes.
What are the steps for rewriting expressions?
There are a few steps to rewriting expressions. The steps of rewriting expressions are finding the value of the letter and then using the common factor.
Who is the Greek mathematician who invented an easier way of finding the GCF?
Euclid is the Greek mathematician who invented an easier way of finding the GCF.
How does finding the gcf help you solve real world problems?
Finding the LCM will help you add and subtract fractions. Finding the GCF will help you reduce fractions.
When do you use GCF and LCM?
Gcf you use when you are finding the greatest factor for the numbers. Lcm you use when you are finding the smallest multiple in the numbers factors
Why is the GCF important?
Finding the GCF will help you to simplify fractions.
What is the purpose of first finding the GCF?
The answer depends on what you are trying to achieve. there is not much point in first finding the GCF if all that you want to do is to cook some scrambled eggs!
What are the three steps in finding the GCF of two numbers?
Example: 30 and 42 Factor them. 2 x 3 x 5 = 30 2 x 3 x 7 = 42 Select the common factors. 2 x 3 = 6, the GCF
Is there a shortcut to finding gcf of large numbers?
Yes there is
What steps can be followed for finding a misplaced paper medical record?
what steps can be followed for finding a misplaced paper medical record
How can fractions be simplified by finding the GCF and using divisibility rules?
Simplifying fractions and finding the GCF is easy. All you have to do is put the fraction into simplest form and then put in a whole number.
What helps you simplify fractions?
Finding the GCF of the numerator and denominator.
Method in finding the GCF?
listing method , factor tree
Why is it easier to divide the numerator and denomenator by the gcf rather than any other number when simplifying a fraction?
It is preferable because this is the purpose, the ultimate aim, of simplification. You can only simplify to the extent that the greatest common factor will allow. You can do so in one step by finding the greatest common factor, or you can do so in multiple steps by first dividing by a lower factor (when you are finished you will see that all the lower factors multiply to give the gcf). Sometimes it is easier to do the task in multiple steps rather than searching for the gcf, but if you can identify the gcf then your simplification will be done in just one step.
