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
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.
The least common factor of 18, 27, 45 is 1. The least common factor of any set of numbers is 1.
945
Common factors of 420, 735, and 945 are: 1, 3, 5, 7, 15, 21, 35, and 105.
Well, let's take a moment to appreciate the beauty of numbers coming together. The highest common factor of 441 and 945 is 63. It's like finding a happy little tree in a forest of numbers, bringing harmony and balance to our mathematical landscape.
It is 189
135
5
The GCF is 5.
The GCF is 105.
The Greatest Common Factor (GCF) is: 189
The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers.The greatest common factor of 180 and 945 is 45
945 = 3³ × 5 × 7 4536 = 2³ × 3⁴ × 7 Thus, the greatest common factor is 3³ × 7 = 189.
945 is the lowest common denominator. 3 is the greatest common factor.
You need at least two numbers to find a GCF. If that's 9 and 45, the GCF is 9.
You need at least two numbers to find a GCF. If that's 9 and 45, the GCF is 9.