Greatest Common Factor (GCF) Calculator
Once we have found the prime factors of all the numbers, we need to find the highest power of each prime factor that appears in any of the numbers. For example, if the prime factorization of the numbers are:
24 = 2^3 * 3
30 = 2 * 3 * 5
42 = 2 * 3 * 7
Then the GCF will be:
The highest power of 2 that appears in any of the numbers is 2^3.
The highest power of 3 that appears in any of the numbers is 3.
None of the numbers contain 5 or 7 as a prime factor.
Therefore, the GCF of 24, 30, and 42 is 2^3 * 3, which is 24.
We can then display the GCF and the step-by-step calculation on the webpage using HTML, CSS, and JavaScript. We can also allow the user to input multiple numbers and calculate the GCF for those numbers.
Similarly, we can also calculate the LCD (Least Common Denominator) of multiple numbers by finding the prime factors and the highest powers of each prime factor that appears in any of the numbers, and then multiplying them together. The LCD is the smallest multiple of all the denominators that they have in common.