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What is the greatest common factor?
That is, find the sum of two terms and , where one term is the product of one of the factors of and one of the factors of , and the other term is the product of the other factor of and the other factor of with .
3.
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Calculation of LCM
Find the LCM and the GCF for the set of ages. Again, be clear and concise.
Solution:
Calculation of LCM
1. First Factor the numbers into primes. Prime factorization of 2 is 2. Prime factorization of 28 is 2 x 2 x 7.
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Greatest Common Factors
In order to find the GCF we first factorize each of the numbers to the lowest multipliers
12 = 2 x 2 x3
18 = 2 x x3 x 3
now we will take the factors that are common (or present in both the numbers), so in the above example it would be
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Working with Prime factorization
14001 Working with Prime factorization Rewrite in the simplest form. State the GCF(greatest common factor) of numerator and denominator in each case.
1. 34/85
2. 123123/567567
Find 5/9+7/12 using three different denominators.
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Find the greatest common factor
The product of the page number on two facing pages of a book is 182. Find the page numbers. Solution is attached.
1. Find the ` (GCF) of 18x and 15x
3x
2. Find the greatest common factor (GCF) of 28 a b and 44 ab
4ab2
3. Factor.
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GED practice - LCM, GCF, number patterns
So, the next two terms are
10 and 2
Since 50/10=5; 10/2=5
FIND THE GCF OF THE NUMBERS
140, 180
Solution.
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GCF
119551 GCF Find the GCF of the set of monomials: 175, 280 First find all the individual factors of each monomial:
The factors of 175 are 1, 5, 7, 35, 175.
The factors of 280 is 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 280.
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Greatest Common Factor for an Expression
Now find the GCF of constant terms 12, 9 and 6.
12 = 2 x 2 x 3
9 = 3 x 3
6 = 3 x 2
we can see only 3 is the common factor in all.
Thus the GCF will be 3xy
The greatest common factor is 3xy.
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Trinomials, Greatest Common Factor and Zero Products
What is the total number of games to be played?
39. The product of the page number on 2 facing pages of a book is 110. Find the page number. Please find the solution in the attached file.
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