GCF and LCM Word Problems Worksheets

If you're looking for a helpful resource to practice GCF and LCM word problems, you've come to the right place. These worksheets are designed to assist students, typically in middle or high school, in understanding and solving problems related to Greatest Common Factor (GCF) and Least Common Multiple (LCM).

  5th Grade Math Word Problems Worksheets

---

  Greatest Common Factor Venn Diagram

---

  Fifth Grade Math Worksheets

---

  Math Diagram 5th Grade

---

  8th Grade Math Worksheets Algebra

---

  8th Grade Math Worksheets Algebra

---

  8th Grade Math Worksheets Algebra

---

  8th Grade Math Worksheets Algebra

---

  8th Grade Math Worksheets Algebra

---

  8th Grade Math Worksheets Algebra

---

  8th Grade Math Worksheets Algebra

---

  8th Grade Math Worksheets Algebra

---

  8th Grade Math Worksheets Algebra

---

  8th Grade Math Worksheets Algebra

---

  8th Grade Math Worksheets Algebra

---

  8th Grade Math Worksheets Algebra

---

  8th Grade Math Worksheets Algebra

---

What is the GCF of 12 and 18?

The greatest common factor (GCF) of 12 and 18 is 6.

Find the LCM of 4 and 6.

The least common multiple (LCM) of 4 and 6 is 12.

Claire bought 12 packs of pencils, and her friend bought 15 packs. How many pencils do they have in total?

Claire and her friend have a total of 27 packs of pencils. If each pack contains 12 pencils, then they have a total of 324 pencils (12 packs x 12 pencils + 15 packs x 12 pencils = 324 pencils).

Sarah wants to evenly distribute her 48 cookies among her 6 friends. How many cookies will each friend get?

Each friend will get 8 cookies, as 48 cookies divided among 6 friends equals 8 cookies per friend.

A soccer team and a basketball team are practicing on the same field. The soccer team practices every 4 days, while the basketball team practices every 6 days. How often will both teams practice on the same day?

Both teams will practice on the same day every 12 days since it is the least common multiple of 4 days (soccer team) and 6 days (basketball team).

A group of students is making care packages for soldiers. They have 32 toothbrushes, 48 pairs of socks, and 64 bars of soap. How many care packages can they make with an equal number of each item?

They can make 16 care packages with an equal number of each item by dividing the total quantities of toothbrushes, socks, and soap by the common number they want in each care package, which is 2 (the greatest common divisor of 32, 48, and 64).

A farmer needs to plant 36 apple trees and 48 orange trees. What is the maximum number of rows he can plant with equal number of apple and orange trees in each row?

The farmer can plant a maximum of 12 rows with equal numbers of apple and orange trees in each row. Each row will have 3 apple trees and 4 orange trees.

Richard is organizing a book club meeting every 18 days, and Emma is organizing a movie night club every 24 days. How often will both events occur on the same day?

Both events will occur on the same day every 72 days since that is the least common multiple of 18 and 24.

A candy store sells candy in bags of 24 and 36 pieces. What is the minimum number of pieces a customer can buy without any leftover candy?

The minimum number of pieces a customer can buy without any leftover candy is 72 pieces. This can be achieved by buying 3 bags of 24 pieces each or 2 bags of 36 pieces each.

Two buses leave the station at the same time. One travels every 30 minutes and the other every 45 minutes. After how many minutes will they both depart at the same time again?

The least common multiple of 30 and 45 is 90. Therefore, the two buses will depart at the same time again after 90 minutes.