Length + greatest common divisor (GCD) - practice problems
Number of problems found: 38
- Paper
The drawing paper has dimensions 220mm and 308mm. Pupils should cut it into squares of the same size so that they are as large as possible. Determine the dimensions of the square in cm and the number of squares. - Jackie 2
Jackie bought an equal number of tulip bulbs and daffodil bulbs. Along the length of her garden, Jackie planted 6 daffodil bulbs and 3 tulip bulbs per foot. She has 5 daffodil bulbs and 29 tulip bulbs remaining to plant elsewhere. How long is Jackie's gar - 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? - 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? - Leftovers 79424
The carpenter has three boards 360 cm, 27 dm and 450 cm long, and he wants to cut them into boards of the same length so that there are no leftovers. What will the board be to make it as long as possible? - Three 205
Three metallic bars of lengths 400 cm, 600 cm, and 720 cm are cut into equal pieces. Find the largest possible area of a square that can be made from any of the three bars. - Lengths 69314
We must cut three steel bars with 24 dm, 3 m, and 160 cm lengths into equal lengths. Find their maximum length and number. - Rectangular 64554
We must draw a square grid on a rectangular plate measuring 154 cm and 210 cm. What should be the side length of the largest possible box? How many fields will be on the board? - The classroom
The classroom is 9 meters long. The width of the classroom is smaller and can be passed in equally long steps of 55 CM or 70 CM. Find the width of the classroom. - Square gardens
The gardening colony with dimensions of 180 m and 300 m is to be completely divided into equally large square areas with the largest possible area. Calculate how many such square areas can be obtained and determine the square's side length. - Pegs
From two sticks 240 cm and 210 cm long, it is necessary to cut the longest possible pegs for flowers so that no residues remain. How many pegs will it be? - Identical cubes
From the smallest number of identical cubes whose edge length is expressed by a natural number, can we build a block with dimensions 12dm x 16dm x 20dm? - Rectangle 21663
A) Divide a rectangle measuring 126 cm x 72 cm into as many squares as possible. b) Calculate the side length of these squares. - Length of a string
What are the smallest string length we can cut into 18 equal parts and even 27 equal parts (in decimeters)? - Long bridge
Roman walked on the bridge. When he heard the whistle, he turned and saw Kamil running at the beginning of the bridge. They would meet in the middle of the bridge if he went to him. Roman rushed and did not want to waste time returning 150m. He continued - Cutting paper
Divide a rectangular paper with dimensions 220mm and 308mm into squares of the same size so that they are as large as possible. Specify the length of the side of the square. - Four poplars
Four poplars are growing along the way. The distances between them are 35 m, 14 m, and 91 m. At least how many poplars need to be dropped to create the same spacing between the trees? How many meters will it be? - Craftsman 7263
To make a ladder, the craftsman needs to cut as many rungs of the same length as possible. He is to cut them from two boards, one is 220cm long, and the other is 308cm long. How long will the bars be, and how many will there be?
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