Greatest common divisor (GCD) - practice problems - page 2 of 9
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 163
- A tailor
A tailor bought 72 meters of white cloth and 16 meters of blue cloth. The material was cut into equal lengths to make a school uniform. What was the greatest length of each piece of cloth that was cut?
- Two pieces
Two pieces of cloth 15 and 20 meters long are to be cut into small pieces of equal lengths. What will be the greatest length of each piece?
- Trainers 3
Trainers start in six steps, eight steps, nine steps, and ten steps. Each time they have one trainee left. How many trainees were there?
- Bathroom 3
The bathroom measures 300x210 cm. What are the largest square tiles and how many will I need to cover the floor?
- In a forest meadow
The students planted 280 spruces and 60 pines on forest traps. Express the ratio of the number of planted pines to the number of planted spruces in the smallest possible natural numbers.
- Four-digit numbers
Find all four-digit numbers whose decimal notation begins with a six and ends with a two and is divisible by 24.
- Toy car collection
Martin has more than 50 and less than 100 toy cars in his collection. A fifth of them are trucks, an eighth are vintage cars and the rest are models of current passenger cars. How many toy cars does Martin have in his collection and how many of them are p
- Groups
Into what largest number of groups can we divide 336 children and 24 adults so that each group contains the same number of children and adults?
- Candy boxes
You have to create as many identical candy boxes as possible from 280 orris, 252 nougat, and 420 marzipan candies. At the same time, you must not have any candy left or missing. What will be the composition of one box of chocolates, and how many candies w
- Christmas 83125
Parents are making Christmas gazebos/packages for children. We have 96 apples, 320 candies, 80 gum, 112 nuts. How many identical packages can I make from a given material?
- Centimeters 82756
Let us have a cube whose edge length is expressed in centimeters and is a natural number. What is the smallest number of such identical cubes that can be made into a cuboid with dimensions of 24 cm, 32 cm, and 60 cm? How long will the edge of these cubes
- Altogether 82457
Mr. Novák needs three wooden poles 21 dm, 350 cm, and 2.8 m long. He needs to cut them into smaller pieces of the same length, as long as possible. How long will he get and how many pieces will he have altogether?
- Students 82381
Sixth graders received 264 pencils and 330 pens. How many students can be in this class so that each student gets the same number of pencils and pens? How many pens and pencils does each student get?
- Three-day trip
George went on a moped for a three-day trip. He drove 90 km on the first day, 30 km on the second day, and 60 km on the third day. He always drove at the same average speed and always the whole number of hours. Calculate the average speed if George drove
- Dimensions 80848
We want to cover a wall with dimensions of 4m x 250cm with square marble tiles with the largest possible dimensions of the sides of the tiles so that there are no losses caused, for example, by cutting them during tiling. How many tiles will we need for t
- Determines 80517
Determines all two-digit numbers that have a greatest common divisor of 19 with the number 76
- Bouquets 80478
At the flower shop, they received 72 white roses and 96 red roses. What is the maximum number of bouquets they can tie to all these roses if each bouquet is to have the same number of white roses as red roses?
- The grocery
Susan has decided to make grocery combos for her shop. The wholesaler she buys from sells sugar in packets of 20 in a carton, flour in packets of 12 a carton, and 15 bags of rice in a carton. How many of each item should she buy so there are an equal numb
- Greatest common factor
What is the GCF of 8 and 20?
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