Natural numbers + greatest common divisor (GCD) - practice problems
Number of problems found: 90
- Same remainder
Find the greatest number that will divide 43, 91, and 183 so as to leave the same the remainder in each case. - 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? - GCD&LCM of three
GCD of three numbers is 30 and LCM is 900. As two the are 60 and 150, find the number. - HCF - big numbers
Find the HCF of 72030 and 88200 - Profitable company
Three businessmen decide to open up their own company. They agree to distribute the yearly profits made in the same ratio as their initial investments. They invest R 50 000, R 75 000, and R25 000, respectively. The profit made by the company in the first - University 5680
One company employed a university student on a farm for the entire month of June by paying him €16 and a full board for one day. If he did not work that day, he had to pay €6 for the meal. How many days did the student work if he earned €348 in the month - Composition 83241
You have to create as many identical candy boxes as possible from 280 orris, 252 nougat, and 420 marzipan candies. At the same time, you must not have any candy left or missing. What will be the composition of one box of chocolates, and how many candies w - On Children's
On Children's Day, the organizers bought 252 chewing gums, 396 candies, and 108 lollipops. They want to make as many of the same packages as possible. Advise them what to put in each package and how many packages they can make this way. - 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 - 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 - 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 - 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 - Trees in alley
There are four trees in the alley between which the distances are 35m, 15m, and 95m. Trees must be laid in the spaces so that the distance is equal and maximum. How many trees will they put in, and what will be the distance between them? - Tissues
The store got three kinds of tissues - 132 children, 156 women, and 204 men. Tissues for each species were packed into boxes after the number of pieces was the same for all three types (and greatest). Determine the number if you know that every box has mo - 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 - The tickets
The tickets to the show cost some integer number greater than 1. Also, the sum of the price of the children's and adult tickets and their products was the power of the prime number. Find all possible ticket prices. - Three lines
At 6 AM, three bus lines depart from the station. The first line has an interval of 24 minutes. The second line has an interval of 15 minutes. The third line runs at regular intervals of more than 1 minute. The third line runs at the same time as the firs - Birthdate
Jane brought 30 lollipops and 24 chewing gum for their friends on her birthday. How many friends does she have if everyone receives the same number of lollipops and chewing gums? How much chewing gum and lollipops got any friends? - Orienteering 6301
Twenty-six girls and 39 boys took part in the orienteering race. Create as many of the same teams as possible so that no competitor is left. How many boys and how many girls are on the team?
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