When we find all the factors of two or more numbers, and some factors are the same (“common”), then the largest of those common factors is the Greatest Common Factor. Example: the GCF of 12 and 16 is 4, because 1, 2 and 4 are common factors of both 12 and 16, and 4 is the greatest of them.
What is GCF in your own words?
GCF stands for greatest common factor. The greatest common factor of two numbers is the greatest number that is a factor of both of them.
What is the GCF of 2 and 4?
2
Answer: GCF of 2 and 4 is 2.
What is the greatest common multiple?
The greatest common factor (GCF or GCD or HCF) of a set of whole numbers is the largest positive integer that divides evenly into all numbers with zero remainder. For example, for the set of numbers 18, 30 and 42 the GCF = 6.
Which is the best definition of a common multiple?
A common multiple is a whole number that is a shared multiple of each set of numbers. The multiples that are common to two or more numbers are called the common multiples of those numbers. The multiples that are common to two or more numbers are called the common multiples of those numbers.
Which is the greatest common factor of two numbers?
When we find all the factors of two or more numbers, and some factors are the same (“common”), then the largest of those common factors is the Greatest Common Factor. Abbreviated “GCF”. Also called “Highest Common Factor”. Example: the GCF of 12 and 16 is 4, because 1, 2 and 4 are common factors of both 12 and 16, and 4 is the greatest of them.
Is there an infinite number of common multiples?
Common multiples of 3 and 4: 12, 24, 36, … A number can have an infinite number of multiples. Therefore, any two numbers or set of numbers can have the infinite number of common multiples. The smallest common multiple of two or more numbers is called their Least Common Multiple (LCM).
What do you call numbers with greatest common divisor of 1?
Two numbers are called relatively prime, or coprime, if their greatest common divisor equals 1. For example, 9 and 28 are relatively prime. A 24-by-60 rectangle is covered with ten 12-by-12 square tiles, where 12 is the GCD of 24 and 60.
