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What is the greatest common factor of 225 and 825?
For small numbers which we can factorize easily, it is practical to use prime factorizations to find the greatest common factor. For larger numbers, however, this is not always practical. So instead we use the Euclidean Algorithm, as follows. (Here, * means multiply.) 330495 = 400 * 825 + 495 825 = 1 * 495 + 330 495 = 1 * 330 + 165 330 = 2 * 165 + 0 At each step, we divide one number by the other and get a remainder. (So when 330495 is divided by 825 the remainder is 495, etc). So we get the sequence 330495 , 825 , 495 , 330 , 165 , 0. Every common factor of 330495 and 825 is also a factor of 495, and every common factor of 825 and 495 is also a factor of 330495. Therefore the common factors of 330495 and 825 are precisely the common factors of 825 and 495. Similarly, the common factors of 825 and 495 are precisely the common factors of 495 and 330; and the common factors of 495 and 330 are precisely the common factors of 330 and 165; and these are precisely the factors of 165. In short, the common factors of the original two numbers are the factors of 165 (including 165 itself) and no others.
What is the greatest common factor of 450 and 735?
Obtain the prime factors of both numbers. 450 = 2 x 3 x 3 x 5 x 5 735 = 3 x 5 x 7 x 7 The factors common to both numbers are 3 and 5. The GCF is 3 x 5 = 15
What is the least common factor of 35 and 45?
The least common factor of 18, 27, 45 is 1. The least common factor of any set of numbers is 1.
What is the Least common multipule of 3 27 35?
945
What are the factors of 420 735 945?
Common factors of 420, 735, and 945 are: 1, 3, 5, 7, 15, 21, 35, and 105.
