The LCM is 144.
196: 2-2-2-2-11 1078: 2-7-7-11 Greatest common factor: 22 Method(s) used: # The method to find the greatest common factor of numbers is to find the prime factorizations of each one, select all matching prime factors, and then multiply. # An alternative method is to find all of the factors of each, and then select the greatest number that appears in each list. # The final method only applies to some numbers; if one of the number is a factor of the other, then that number is the greatest common factor. This is because all numbers are factors of themselves, and that is their greatest factor. If it is also a factor of the other number, then it is definitely the greatest common factor.
The least common multiple (LCM) of 1728 and 16 is 1728.
It is not possible to give a sensible answer to this question. The greatest common factor (GCF) refers to a factor that is COMMON to two or more numbers. You have only one number in the question! There can, therefore, be no method for a question that has no meaning.
Factor both numbers. Select the factors they both have in common. Choose the largest (greatest) one.
We know that the cube of 10 is 10^(3) = 1000 So try 11^(3) = 1331 (Too low) So try 12^(3) = 1728 THE ANSWER!!!! Go No futher. So the cube root (1728) = 12
The LCM is 144.
Subtract 1728 from 2871. The answer is 1143.
Volumes are cubic measures so the similarity ratio is cuberoot(343)/cuberoot(1331) = 7/11
To find the factor of 2 binomials
It depends on the fraction. Sometimes it helps to convert the decimal into a rational fraction. For example, 0.296296... recurring = 296/999 = 8/27. Now so cuberoot(8/27) = cuberoot(8)/cuberoot(27) = 2/3 = 0.66... recurring. This method only works if the cuberoot is a simple rational fraction. In general, however, the best option is numerical iteration, using the Newton Raphson method. To find the cuberoot of k, let f(x) = x^3 - k. then finding the cuberoot of k is equivalent to finding the 0 of f(x). Let f'(x) = 3*x^2 [the derivative of f(x)] Start with an approximate answer, x(0). Then for n = 0, 1, 2, ... Let x(n+1) = x(n) - f(x(n))/f'(x(n)) The sequence x(0), x(1), x(2), ... will converge to the cuberoot of k. The iteration equation, given above, is much easier to read if the n and n+1 are read as suffices, but the new and "improved" browser cannot handle suffices!
12x12x12 or 1728
There is no easy way. For example the cube root of 30 is irrational. Now, because 27 < 30 < 64 then, taking cube roots, 3 < cuberoot(30) < 4. But that is as far as it goes! If the number ends with 000 then the cuberoot is a multiple of 10. So that cuberoot(27000) = 10*cuberoot(27) = 10*3 = 30. But there are many numbers ending with 000 between 27000 and 64000 for which this will not work.
121: 11-11 132: 2-2-3-11 Great common factor: 11 Method(s) used: # (used) The method to find the greatest common factor of numbers is to find the prime factorizations of each one, select all matching prime factors, and then multiply. # An alternative method is to find all of the factors of each, and then select the greatest number that appears in each list. # The final method only applies to some numbers; if one of the number is a factor of the other, then that number is the greatest common factor. This is because all numbers are factors of themselves, and that is their greatest factor. If it is also a factor of the other number, then it is definitely the greatest common factor.
196: 2-2-2-2-11 1078: 2-7-7-11 Greatest common factor: 22 Method(s) used: # The method to find the greatest common factor of numbers is to find the prime factorizations of each one, select all matching prime factors, and then multiply. # An alternative method is to find all of the factors of each, and then select the greatest number that appears in each list. # The final method only applies to some numbers; if one of the number is a factor of the other, then that number is the greatest common factor. This is because all numbers are factors of themselves, and that is their greatest factor. If it is also a factor of the other number, then it is definitely the greatest common factor.
The least common multiple (LCM) of 1728 and 16 is 1728.
The greatest common factor of two numbers has to show up on the lists of factors of both numbers.