LCM and HCF/GCF Problem Set

A factor of a number is a value which:

Hint: Search google.com for "factor math definition" or look in Managebac "Files" for HCF/LCM related files.

• is divisible by that number

• divides that number with no remainder

• is always greater than that number

• is always prime

Which 2 values will always be factors of a number? SELECT 2 CHOICES.

Hint: Search google.com for "factor math definition" or look in Managebac "Files" for LCM/HCF related files.

• the number itself

A multiple of a value is:

Hint: Search google.com for "multiple math definition" or look in Managebac "Files" for HCF/LCM related files.

• a number which is divisible by that value with no remainder

• a number which divides that value with no remainder

• always less than that value

• always greater than that value

The HCF/GCF (Highest or Greatest Common Factor) for 2 numbers is:

Hint: Search google.com for "HCF GCF definition examples" or look in Managebac "Files" for HCF/GCF related files. Consider some examples such as HCF (4, 8), HCF (5, 7), and HCF (9, 12).

• always greater than both numbers

• always less than both numbers

• always less than or equal to the smaller of the 2 numbers

• always greater than or equal to the larger of the 2 numbers

The LCM (Least Common Multiple) of 2 numbers is:

Hint: Search google.com for "LCM definition examples" or look in Managebac "Files" for LCM related files. Consider examples such as LCM (2, 6), LCM (5, 7), and LCM (9, 12).

• always less than both numbers

• always greater than both numbers

• always less than or equal to the smaller of the 2 numbers

• always greater than or equal to the larger of the 2 numbers

The prime factorization of 36 is:

Hint: The prime factorization of a number is a representation of that number as a product of its prime factors. Repeated prime factors are written as powers or exponents of the repeated prime factors. A prime number is a number which is divisible by only 1 and the number itself. Use a calculator to check your answer.

The prime factorization method for finding the LCM of 2 numbers requires:

Search google.com for "LCM prime factorization" or look in Managebac "Files" for LCM related files and examples. Consider examples such as LCM (4, 8), LCM (9, 12), LCM (6, 20), and LCM (24, 36).

• multiplying the lowest powers of every prime factor for both numbers

• multiplying the lowest powers of only the common prime factors for both numbers

• multiplying the highest powers of only the common prime factors for both numbers

• multiplying the highest powers of every prime factor for both numbers

The prime factorization method for finding the HCF/GCF of 2 numbers requires:

Search google.com for "HCF GCF prime factorization" or look in Managebac "Files" for HCF/GCF related files and examples. Consider HCF/GCF (4, 8), HCF/GCF (6, 9), and HCF/GCF (24, 36).

• multiplying the lowest powers of every prime factor for both numbers

• multiplying the lowest powers of only the common prime factors for both numbers

• multiplying the highest powers of only the common prime factors for both numbers

• multiplying the highest powers of every prime factor for both numbers

The Euclidean Algorithm is a method which can be used to find:

Hint: Search google.com for "Euclidean Algorithm" or look in Managebac "Files" for "LCM and HCF Methods and Examples" pdf file.

• the LCM of 2 numbers

• the HCF/GCF of 2 numbers

• the prime factorization of a number