In the example above, the LCM would be 2 × 2 × 2 × 3 × 11 × 17 = 4,488. The process is as follows: we get the prime factorizations and multiply the highest power of all factors present. The GCF calculator will provide this result simply and quickly.Ĭlosely related to the GCF is the least common multiple, abbreviated as LCM. Notice the only number present in all sets of factors is 2, which appears in common twice, so the GCF is 2 × 2 = 4. For example, suppose we want the GCF of 24, 44, and 68. Then multiply all the factors that are the same in each set. To do so, we get the prime factorization of all the numbers. The prime factorization calculator is a handy tool for obtaining these factors.Īnother area of interest is calculating the greatest common factor (GCF) of a set of numbers. Although 1 is a factor, many mathematicians now do not consider 1 to be a prime number. When completing the process, we get 2 × 2 × 2 × 2 × 3. Notice those are not all prime numbers, so we have to break it down further. For example, suppose we want the prime factorization of 48. Prime factorization is an extension of factorization in which all the factors are prime numbers. If the result is divisible by 7, then the original number is as well. So in our case, we get:Īdd the obtained products. Repeat or shorten this sequence to the necessary length. Multiply them successively by the digits 1, 3, 2, 6, 4, 5. So for our original number 13468, we have 8 6 4 3 1. Take the digits of the number in reverse order. Great! We obtained the number divisible by 7, so it means that our original number, 13,468 is also divisible by 7. Is 133 divisible by 7? Not sure, so repeat the procedure once more: We don't know straight away if 1330 is divisible by 7, so we repeat the steps all over again:
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