GCF and LCM Word Problems

How do you find the GCF of two numbers?

• To find the GCF, 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.

What is a factor?

• A factor is a number that divides another number evenly, without leaving a remainder.

• A factor is a number that is multiplied by another number to get a product.

• A factor is a number that is added to another number to get a sum.

• A factor is a number that is subtracted from another number to get a difference.

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How do you find the LCM of two numbers?

• To find the LCM, 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 smallest prime factor.

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

Lisa has 12 coloring books and 36 crayons. What is the greatest number of baskets she can make?

• 10 baskets

• 12 baskets

• 15 baskets

• 8 baskets

Jenny goes to karate class every 12 days and to the library every 18 days. When will she do both on the same day again?

• 24 days

• 30 days

• 36 days

• 42 days

What is the prime factorization of a number?

• Expressing a number as the sum of its digits.

• Expressing a number as the product of its prime factors.

• Expressing a number as the difference of two squares.

• Expressing a number as the average of its factors.

Henry takes 7 minutes to ride around a track, and Margo takes 12 minutes. When will they meet at the starting line?

• 60 minutes

• 72 minutes

• 84 minutes

• 96 minutes

How can GCF be applied in real-life situations?

• GCF can be used to determine how to evenly distribute items into groups.

• GCF is used to calculate the area of a rectangle.

• GCF helps in finding the maximum speed of a vehicle.

• GCF is used to measure the temperature of an object.

What is a multiple?

• A number that can be divided by another number without a remainder.

• A number that is the result of multiplying two integers.

• A number that is greater than zero.

• A number that can only be divided by itself and one.

How can LCM be applied in real-life situations?

• LCM can be used to schedule events that repeat at different intervals.

• LCM is used to find the greatest common divisor of two numbers.

• LCM helps in determining the area of geometric shapes.

• LCM is primarily used in financial calculations.