Greatest common divisor (GCD) - practice problems - last page
Number of problems found: 156
- Paper squares
We should cut the paper rectangle measuring 69 cm and 46 cm into as many squares as possible. Calculate the lengths of squares and their number. - Janka and Danka
Janka and Danka began to read the books the same day. Janka had 276 pages, Danka 204 pages. They agreed that both read the same number of pages every day until They read their books. A) How many maximum pages do they have to read the day to honor their ag - Tissues
The store got three kinds of tissues - 132 children, 156 women, and 204 men. Tissues for each species were packed into boxes after the number of pieces was the same for all three types (and greatest). Determine the number if you know that every box has mo - Bundle of candies
The store has 168 chocolates, 224 caramel candies, and 196 hard candies. How many packages can we do, and how many candies will be in each package?
- Tiles
The room has dimensions of 12 m and 5.6 m. Determine the number of square tiles and their largest possible size to cover the room's floor. - 9.A
Class 9A has more than 20 students but fewer than 40 students. A third of the pupils wrote a math test to mark 1, the sixth to mark 2, and the ninth to mark 3. No one gets a mark of 4. How many students of class 9A wrote a test to mark 5? - Florist's
The flower shop has 72 white and 90 red roses. How many identical bouquets can they most tie together so that all the roses are used? - Plumber
The plumber had to cut the metal strip with dimensions of 380 cm and 60 cm to the largest squares to no waste. Calculate the length of the sides of a square. How many squares cut it? - Around the flowerbed
Roses are to be planted equally spaced around a rectangular flowerbed with dimensions 5.25 m and 3.5 m so that they are found in every corner of the flowerbed and consumed as little as possible. a) At what distance are planted roses? b) How many roses do
- Birthdate
Jane brought 30 lollipops and 24 chewing gum for their friends on her birthday. How many friends does she have if everyone receives the same number of lollipops and chewing gums? How much chewing gum and lollipops have any friends? - Tiles
The hall has dimensions 250 × 200 dm. What is the largest size of square tiles that can be tiled throughout the hall, and how many do we need? - Segments
We divide line segments 59 cm and 5.3 dm long into equal parts, the lengths of which are expressed as integers in centimeters. How many ways can we divide? - Textbooks
A math textbook is 1 4/7 inches thick. How many of these books will fit on a 22-inch self? - Diofant 2
Is equation 1140x +876y = 48 solvable on the set of integers Z?
- Diofant equation In the set of integers (Z), solve the equation: 212x +316y =0 Write result with integer parameter t in Z (parameter t = ...-2,-1,0,1,2,3... if equation has infinitely many solutions)
- Seedcake
Seedcake costs 44 cents. How many minimum seedcakes must we buy that we can pay in cash, only whole euros?
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