GCF & LCM Word Problems

What is the Greatest Common Factor (GCF)?

• The smallest number that divides two or more numbers without leaving a remainder.

• The largest number that divides two or more numbers without leaving a remainder.

• The sum of two or more numbers.

• The product of two or more numbers.

If hot dogs come in packs of 10 and buns in packs of 12, what is the least number of hot dogs and buns you can buy to have none left over?

• 30 hot dogs and 36 buns

• 60 hot dogs and buns

• 50 hot dogs and 48 buns

• 40 hot dogs and 24 buns

What is the Least Common Multiple (LCM)?

• The largest number that divides two or more numbers.

• The smallest number that is a multiple of two or more numbers.

• The sum of two or more numbers.

• The difference between two or more numbers.

What is the GCF of 12 and 16?

• 2

• 4

• 6

• 8

What is an example of a GCF problem?

• Finding how many equal groups can be made from 12 apples and 16 oranges.

• Calculating the total number of fruits in a basket.

• Determining the price of each apple if 12 apples cost $3.

• Finding the average number of oranges per group if there are 16 oranges.

How do you find the GCF of two numbers?

• List the factors of each number and identify the largest factor they have in common.

• Multiply the two numbers together and divide by their smallest number.

• Add the two numbers together and find the largest prime factor.

• Subtract the smaller number from the larger number until you reach zero.

How do you find the LCM of two numbers?

• List the multiples of each number and identify the smallest multiple they have in common.

• Multiply the two numbers together and divide by their GCD.

• Add the two numbers together and find the average.

• Choose the larger of the two numbers as the LCM.

What is the least common multiple of 8 and 24?

• 12

• 16

• 20

• 24

If Samuel has 6 gel-pens and 4 note-pads, how many gifts can he make without leftovers?

• 10 gifts

• 12 gifts

• 8 gifts

• 14 gifts

What is a word problem in mathematics?

• A mathematical question presented in a narrative format, requiring interpretation and problem-solving.

• A simple arithmetic calculation without any context.

• A type of problem that only involves numbers and no words.

• A question that can be answered with a yes or no.