Greatest common divisor (GCD) - practice problems
Number of problems found: 106
- 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 items left over. How many bags will she pack maximum? How many sweets, chocolates, and jellies will be in one bag?
- Determine 70224
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
The GCF of 40 and a 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.
- 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 a total of twelve groups in the section? Consider the smallest number
- 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?
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?
- 6/24 change
6/24 chance to a fraction in the lowest terms
- 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 wants to bring in cookie cakes to share with his 23 classmates for his birthday. His mom is willing to buy no more than six cookie cakes, and Jordan must share the cakes equally between his classmates (and himself). Answer the questions to help Jor
- Coloured numbers
Mussel wrote four different natural numbers with colored markers: red, blue, green, and yellow. When the red number divides by blue, it gets the green number as an incomplete proportion, and yellow represents the remainder after this division. When it div
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