Reason + greatest common divisor (GCD) - practice problems
Number of problems found: 44
- Determines 80517
Determines all two-digit numbers that have a greatest common divisor of 19 with the number 76 - Reminder and quotient
There are given the number C = 281, D = 201. Find the highest natural number S so that the C:S and D:S are with the remainder of 1. - Two-digit 68654
List all compound positive two-digit numbers whose greatest common divisor with the number 51 is the number 17. - Lcm = 22 + gcd
The least common multiple of two numbers is 22 more than their greatest common divisor. Find these numbers. - We bought
We bought 140 fruit, 196 chocolate, and 84 caramel lollipops. How many of the same packages can we prepare from them? - MO C–I–1 2018
An unknown number is divisible by just four numbers from the set {6, 15, 20, 21, 70}. Determine which ones. - Florist
The florist has 84 red and 48 white roses. How many same bouquets can he make from them if he must use all roses? - Competition 5095
Ninety boys and 48 girls signed up for the sports competition. How many members of boys' and girls' teams can we assemble so that they have the largest number of members and the same number of members in the boys' and girls' teams? - Same remainder
Find the greatest number that will divide 43, 91, and 183 so as to leave the same the remainder in each case. - 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. - Neither 4182
Hanka gave Simon a riddle: guess a pair of numbers whose GCD is 7, and LCM is 90. Katy wanted Šimon to guess such a pair for which GCD is 7, and LCM is 91. Which riddle could Šimon guess? A: Katy B: Hankina C: neither D: Both - Bouquets 80478
At the flower shop, they received 72 white roses and 96 red roses. What is the maximum number of bouquets they can tie to all these roses if each bouquet is to have the same number of white roses as red roses? - Determine 8611
Determine all natural numbers A and B pairs for which the sum of twice the least common multiple and three times the greatest common divisor of natural numbers A and B is equal to their product. - Matemakak 9432
The cookbook by Matěj Matemakak says: The greatest common divisor of flour weight and sugar weight is 15, the greatest common divisor of sugar weight and lemon peel weight is 6, the product of sugar weight and lemon peel weight is 1800, and the smallest c - Three friends
Three friends had balls in a ratio of 2:7:4 at the start of the game. Could they have the same number of balls at the end of the game? Write 0, if not, or write the minimum number of balls they had together. - Apples and pears
Mom divided 24 apples and 15 pears among the children. Each child received the same number of apples and pears - the same number as their siblings. How many apples (j=?) and pears (h=?) were received for each child? - 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? - Cinema 4584
There are 15 seats in the cinema. How many seats are there in the cinema, if we know we will say that there are more than 390 but less than 410. - 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 - Bricks pyramid
How many 50cm x 32cm x 30cm brick needed to built a 272m x 272m x 278m pyramid?
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