Greatest common divisor (GCD) - practice for 12 year olds - page 2 of 5
Number of problems found: 95
- 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. - Two-digit 68654
List all compound positive two-digit numbers whose greatest common divisor with the number 51 is the number 17. - Steamers 67804
Two steamers set out on a voyage from the same port. The first steamer returns to port every fourth day, and the second steamer returns every fifth. How many days do they meet again? - 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?
- Lcm and hcf
If the LCM of a and 18 is 36 and the HCF of a and 18 is 2, then a = … - Lcm = 22 + gcd
The least common multiple of two numbers is 22 more than their greatest common divisor. Find these numbers. - Athletics team
All athletes from the Ostrava athletics team can start in four, five, six, and seven stages, and no one will be present. How many average athletes are in one athletic group if there are twelve groups in the section? Consider the smallest number of athlete - Readers club
The local reader's club has a set of 28 hardback books and a set of 44 paperbacks. Each set can be divided equally among the club members. What is the greatest possible number of club members? - Mangoes
Chris has 12 mangoes, and Jay has 18 mangoes. Each of them will share the mangoes with their friends. What's the greatest number of mangoes each of their friends gets if Chris and Jay will give the same number of mangoes?
- Part-time workers
On Saturday, 210 part-time workers arrived in the village. One hundred five part-time workers worked in the first field, 60 in the second. The other part-time workers worked in the third field. They all worked in equal groups. How many workers worked in e - We bought
We bought 140 fruit, 196 chocolate, and 84 caramel lollipops. How many of the same packages can we prepare from them? - Jordan
Jordan wants to bring in cookie cakes to share with his 23 classmates for his birthday. His mom is willing to buy up to six cookie cakes, and Jordan must share the cakes equally with his classmates (and himself). Answer the questions to help Jordan decide - Two hundred
Two hundred ten athletes competed in three athletics races on three fields. One hundred five athletes competed in the first, 60 in the second, and everyone else in the third. On the individual courts, the athletes were divided into groups. Although compet - 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? - The wooden
The wooden block measures 12 cm, 24 cm, and 30 cm. Peter wants to cut it into several identical cubes. At least how many cubes can he get? - Diameters: 23901
When paying, we use euro coins with the following diameters: The 10-cent coin has a diameter of 19.75 mm. The 20-cent coin has a diameter of 22.25 mm. The 50-cent coin has a diameter of 24.25 mm. Find out in what ratio the diameters of these coins are. - 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?
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