Final answer:
The correct terms to complete the sentence are 'greatest' and 'greatest common factor'. The GCF is the highest factor that two or more numbers have in common, essential for simplifying fractions and finding common denominators.
Step-by-step explanation:
The sentence when completed with the correct terms becomes: The greatest of the common factors of two or more numbers is the greatest common factor (GCF) of the numbers. This concept is essential in mathematics, especially when simplifying fractions or finding common denominators.
The greatest common factor, also known as the greatest common divisor, is the largest number that divides two or more numbers without leaving a remainder. For example, the GCF of 8 and 12 is 4, because it is the largest number that evenly divides both numbers. When solving problems involving GCF, it's important to list the factors of each number and then identify the largest factor that appears in both lists.
Similarly, when adding or subtracting numbers with different decimal places, one must round off the result to the least number of decimal places present in any of the original numbers. This ensures the accuracy of the result and maintains the certainty of the least certain value.