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One practical application of greatest common factor is to simplify fractions.
Wiki User
∙ 7y ago
Wiki User
∙ 7y agoIt will enable you to reduce a ratio of two very large numbers to a ratio of more manageable ones. This is of particular importance if you want to carry out further calculations.
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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
Where do you use GCF in real life?
When reducing fractions to their simplest form the greatest common factor of their numerator and denominator must be found.
Is this true or false ' if 2 numbers are each divisible by another number then their difference is also divisible by that number'?
True, and this property is useful for finding the greatest common factor (GCF) of two (or more) large numbers.If A > B, then GCF(A , B) = GCF(A - B, B) where A - B is smaller than A.Repeat, each time subtracting the smaller number from the bigger.Keep going until both numbers in the parentheses are the same: that number is the GCF of A and B.GCF by subtraction rather than factorising or division. Unfortunately, it can be quite slow. You could speed it up by doing A - 2B or A - 3B etc rather than A - B.True, and this property is useful for finding the greatest common factor (GCF) of two (or more) large numbers.If A > B, then GCF(A , B) = GCF(A - B, B) where A - B is smaller than A.Repeat, each time subtracting the smaller number from the bigger.Keep going until both numbers in the parentheses are the same: that number is the GCF of A and B.GCF by subtraction rather than factorising or division. Unfortunately, it can be quite slow. You could speed it up by doing A - 2B or A - 3B etc rather than A - B.True, and this property is useful for finding the greatest common factor (GCF) of two (or more) large numbers.If A > B, then GCF(A , B) = GCF(A - B, B) where A - B is smaller than A.Repeat, each time subtracting the smaller number from the bigger.Keep going until both numbers in the parentheses are the same: that number is the GCF of A and B.GCF by subtraction rather than factorising or division. Unfortunately, it can be quite slow. You could speed it up by doing A - 2B or A - 3B etc rather than A - B.True, and this property is useful for finding the greatest common factor (GCF) of two (or more) large numbers.If A > B, then GCF(A , B) = GCF(A - B, B) where A - B is smaller than A.Repeat, each time subtracting the smaller number from the bigger.Keep going until both numbers in the parentheses are the same: that number is the GCF of A and B.GCF by subtraction rather than factorising or division. Unfortunately, it can be quite slow. You could speed it up by doing A - 2B or A - 3B etc rather than A - B.
When finding the GCF of a polynomial can it ever be smaller than the smallest coefficent?
Yes.
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 is it useful to find the LCM or GCF of two numbers to solve a problem?
When adding or subtracting fractions with different denominators and when reducing fractions to their lowest termsWhen adding or subtracting fractions with different denominators their lowest common multiple is needed and when reducing fractions to their lowest terms their greatest common factor is needed.
What is the GCF of 6 and 40?
Factors of 6 are 1, 2, 3 and 6.Factors of 40 are 1, 2, 4, 5, 8, 10, 20 and 40.Common factors are 1 and 2. Therefore, the greatest common factors(gcf) is 2.Alternate method:The method used above is not useful for finding GCF of larger numbers.However, the method of prime factorization is very useful and simple for finding GCF.Prime factorization of 6 = 2x3Prime factorization of 40 = 2x2x2x5It is clear from the factorization of both numbers that 2 is the GCF.
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.
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.
Why it is GCF very important?
When reducing fractions to their lowest terms knowing their gcf is useful
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!
Is there a shortcut to finding gcf of large numbers?
Yes there is
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
