Greatest common divisor (GCD) - practice problems - page 3 of 9
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 163
- Reduce ratio
Express the following ratio in simplest form: 30:42 - Leftovers from boards
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? - Hamburgers 79184
Two sellers, each in their stand, sold hamburgers at the same price, expressed as a natural number in CZK greater than 30. The first seller received 1260 CZK, and the second received only 792 CZK. How much CZK did 1 hamburger cost? How many hamburgers did - 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. - Susan 3
Susan has 90 sweets, 36 chocolates, and 60 jellies. She wants to pack the items equally into goodie bags without any leftover items. How many bags will she pack maximum? How many sweets, chocolates, and jellies will be in one bag? - Divisible without remainder
Determine the number by which all these numbers, 22, 18, 25, 15, 35, and 10, are divisible without remainder. The number is greater than 1. - 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? - The GCF
If the GCF is 40 and the number is 8, what is the number if it lies between 70 and 80? - Lcm and hcf
If the LCM of a and 18 is 36 and the HCF of a and 18 is 2, then a = … - Rey collected
Rey collected three glasses of colored marbles. The first glass had 27 red marbles, the second had 36 green marbles, and the third had 54 blue marbles. He placed the marbles into a set of boxes of each kind. What is the greatest number of marbles that he - Lcm = 22 + gcd
The least common multiple of two numbers is 22 more than their greatest common divisor. Find these numbers. - Stop
Three trams pass through the stop on Malé náměstí. Tram number 9 arrives regularly at eight-minute intervals, train number 12 stops at the stop every 10 minutes, and the third tram line number 13 stops at the stop every 12 minutes. How many times will all
- 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 - Simplest form 3
What fraction is 15 of 35 in simplest form? - 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 give the same number of mangoes? - 6/24 change
6/24 chance to a fraction in the lowest terms
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